🔗 Problem

Problem: An equilateral triangle has a perimeter of 990cm. What is the length of each of its sides?

Gemma 2B:

     An equilateral triangle has all sides of equal length. The formula for the perimeter of an equilateral triangle is Perimeter = 3 \* side length.

    We are given that the perimeter is 990 cm. Let's solve for the side length:

    Side length = Perimeter / 3
    = 990 cm / 3
    = 330 cm

    ### Answer: The length of each side is 330 cm.

Expected answer: 330

Correct? Yes

🔗 Problem

Problem: A triangle has a perimeter of 997m. Two of its sides have lengths of 2m and 667m. What is the length of the third side?

Gemma 2B:

     Reasoning: The length of the third side can be found by subtracting the lengths of the two given sides from the total perimeter: 997 - 2 - 667 = 328 meters.
    ### Answer: 328 meters

Expected answer: 328

Correct? Yes

🔗 Problem

Problem: An equilateral triangle has a perimeter of 579 cm. What is the length of each of its sides?

Gemma 2B:

     Reasoning: An equilateral triangle has all sides of equal length. The formula for the perimeter of a triangle is:
    Perimeter = a + b + c
    where a, b, and c are the lengths of the sides.

    Since an equilateral triangle has all sides of equal length, the formula for the perimeter simplifies to:
    Perimeter = 3 * side length

    We can find the length of a side by dividing the perimeter by 3:
    side length = Perimeter / 3
    = 579 cm / 3
    = 193 cm

    ### Answer: The length of each side of the equilateral triangle is 193 cm.

Expected answer: 193

Correct? Yes

🔗 Problem

Problem: An equilateral triangle has a perimeter of 684m. What is the length of each of its sides?

Gemma 2B:

     An equilateral triangle has all sides of equal length. The formula for the perimeter of a triangle is:

    Perimeter = a + b + c

    where a, b, and c are the lengths of the sides.

    Since it's an equilateral triangle, a = b = c. Therefore, the formula becomes:

    Perimeter = a + a + a

    We are given the perimeter as 684m. Therefore,

    684m = a + a + a
    684m = 3a
    a = 684m / 3
    a = 228m

    So, the length of each side of the equilateral triangle is 228m.
    ### Answer: 228m

Expected answer: 228

Correct? Yes

🔗 Problem

Problem: A triangle has a perimeter of 503 meters. One side of the triangle is 223 meters long and another side is 46 meters long. What is the length of the remaining side?

Gemma 2B:

     Reasoning: The perimeter of a triangle is the sum of the lengths of its sides. Let's denote the length of the remaining side as x.
    Then, the equation for the perimeter is: 223 + 46 + x = 503.
    Solving for x, we get: x = 503 - 223 - 46 = 234.
    ### Answer: The length of the remaining side is 234 meters.

Expected answer: 234

Correct? Yes

🔗 Problem

Problem: An equilateral triangle has a perimeter of 105m. What is the length of each of its sides?

Gemma 2B:

     Reasoning: An equilateral triangle has all sides of equal length. The formula for the perimeter of a triangle is:
    Perimeter = a + b + c
    where a, b, and c are the lengths of the sides.

    Since an equilateral triangle has all sides of equal length, the formula for the perimeter simplifies to:
    Perimeter = 3 * side length

    We can find the length of a side by dividing the perimeter by 3:
    side length = Perimeter / 3
    = 105m / 3
    = <<105/3=35>>35m

    ### Answer: The length of each side of the equilateral triangle is 35m.

Expected answer: 35

Correct? Yes

🔗 Problem

Problem: An equilateral triangle has a perimeter of 306cm. What is the length of each of its sides?

Gemma 2B:

     Reasoning: An equilateral triangle has all sides of equal length. The formula for the perimeter of a triangle is:
    Perimeter = a + b + c
    where a, b, and c are the lengths of the sides.

    Since an equilateral triangle has all sides of equal length, the formula for the perimeter simplifies to:
    Perimeter = 3 * side length

    We are given the perimeter and we need to find the length of a side, so we can use the formula:
    side length = Perimeter / 3

    side length = 306 cm / 3 = <<306/3=102>>102 cm

    ### Answer: 102 cm

Expected answer: 102

Correct? Yes

🔗 Problem

Problem: An equilateral triangle has a perimeter of 33 cm. What is the length of each of its sides?

Gemma 2B:

     Reasoning: An equilateral triangle has all sides of equal length. The formula for the perimeter of a triangle is:
    Perimeter = a + b + c
    where a, b, and c are the lengths of the sides.

    Since an equilateral triangle has all sides of equal length, the formula for the perimeter simplifies to:
    Perimeter = 3 * side length

    We can find the length of a side by dividing the perimeter by 3:
    side length = Perimeter / 3
    = 33 cm / 3
    = 11 cm
    ### Answer: 11 cm

Expected answer: 11

Correct? Yes

🔗 Problem

Problem: A triangle has a perimeter of 861m. Two of the sides are known to be 192m and 159m in length. Can you find the length of the third side?

Gemma 2B:

     Reasoning: The perimeter of a triangle is the sum of the lengths of its sides. Let's denote the length of the third side as x.
    Then, the equation for the perimeter is: 192m + 159m + x = 861m.
    Solving for x, we get: x = 861m - 192m - 159m = <<861-192-159=510>>510m.
    ### Answer: 510m

Expected answer: 510

Correct? Yes

🔗 Problem

Problem: A triangle has a perimeter of 489 centimeters. If each of its sides is of equal length, what is the length of one side?

Gemma 2B:

     Reasoning: The perimeter of a triangle is the sum of the lengths of its sides. Since all sides of this triangle are equal in length, we can divide the perimeter by 3 to find the length of one side.

    Length of one side = Perimeter / 3 = 489 / 3 = <<489/3=163>>163 centimeters
    ### Answer: 163 centimeters

Expected answer: 163

Correct? Yes

🔗 Problem

Problem: An equilateral triangle has a perimeter of 696 meters. What is the length of each side of this triangle?

Gemma 2B:

     Reasoning: An equilateral triangle has all sides of equal length. The formula for the perimeter of a triangle is:
    Perimeter = a + b + c
    where a, b, and c are the lengths of the sides.

    Since an equilateral triangle has all sides of equal length, the formula for the perimeter simplifies to:
    Perimeter = 3 * side length

    We can find the length of a side by dividing the perimeter by 3:
    side length = Perimeter / 3
    = 696 meters / 3
    = 232 meters
    ### Answer: 232 meters

Expected answer: 232

Correct? Yes

🔗 Problem

Problem: The perimeter of a triangle is 804m. One side of the triangle is 180m long, and another side is 579m long. What is the length of the third side?

Gemma 2B:

     Reasoning: The third side of the triangle (let's call it "a") can be found using the triangle inequality theorem, which states that the length of any side of a triangle is less than the sum of the lengths of the other two sides and greater than the difference of the lengths of the other two sides.

    So, 180 < a < 804-579, which simplifies to 180 < a < 225.

    However, we also know that the perimeter of the triangle is 804m, so a + 180 + 579 = 804, which simplifies to a = 505.

    Since 505 is greater than 225 and less than the sum of the other two sides, it is a valid length for the third side of the triangle.
    ### Answer: 505m

Expected answer: 45

Correct? No

🔗 Problem

Problem: An equilateral triangle has a perimeter of 915cm. What is the length of each of its sides?

Gemma 2B:

     An equilateral triangle has all sides of equal length. The formula for the perimeter of an equilateral triangle is:

    Perimeter = Side length × 3

    We are given the perimeter, so we can solve for the side length as follows:

    Side length = Perimeter / 3

    Side length = 915 cm / 3

    Side length = <<915/3=305>>305 cm

    ### Answer: The length of each side of the equilateral triangle is 305 cm.

Expected answer: 305

Correct? Yes

🔗 Problem

Problem: An equilateral triangle has a perimeter of 564 cm. What is the length of each of its sides?

Gemma 2B:

     Reasoning: An equilateral triangle has all sides of equal length. The formula for the perimeter of a triangle is:
    Perimeter = a + b + c
    where a, b, and c are the lengths of the sides.

    Since an equilateral triangle has all sides of equal length, the formula for the perimeter simplifies to:
    Perimeter = 3 * side length

    We can find the length of a side by dividing the perimeter by 3:
    Side length = Perimeter / 3
    = 564 cm / 3
    = <<564/3=188>>188 cm

    ### Answer: The length of each side of the equilateral triangle is 188 cm.

Expected answer: 188

Correct? Yes

🔗 Problem

Problem: An equilateral triangle has a perimeter of 594 cm. What is the length of each of its sides?

Gemma 2B:

     Reasoning: An equilateral triangle has all sides of equal length. The formula for the perimeter of a triangle is:
    Perimeter = a + b + c
    where a, b, and c are the lengths of the sides.

    Since an equilateral triangle has all sides of equal length, the formula for the perimeter simplifies to:
    Perimeter = 3 * side length

    We can find the length of a side by dividing the perimeter by 3:
    side length = Perimeter / 3
    = 594 cm / 3
    = 198 cm
    ### Answer: 198 cm

Expected answer: 198

Correct? Yes

🔗 Problem

Problem: An equilateral triangle has a perimeter of 453 cm. How long is each side of the triangle?

Gemma 2B:

     An equilateral triangle has all sides of equal length. The formula for the perimeter of a triangle is:

    Perimeter = a + b + c

    where a, b, and c are the lengths of the sides.

    Since it's an equilateral triangle, a = b = c. Therefore, the formula becomes:

    Perimeter = a + a + a

    We are given the perimeter as 453 cm. Therefore,

    453 cm = a + a + a

    Combine the a's:

    453 cm = 3a

    Divide both sides by 3:

    a = 453 cm / 3

    a = 151 cm

    ### Answer: Each side of the equilateral triangle is 151 cm long.

Expected answer: 151

Correct? Yes

🔗 Problem

Problem: A triangle has a total perimeter of 898m. The lengths of two of its sides are 250m and 435m respectively. Can you find the length of the third side of the triangle?

Gemma 2B:

     Reasoning: The length of the third side of the triangle can be found using the triangle inequality theorem, which states that the length of any side of a triangle must be less than the sum of the lengths of the other two sides and greater than the difference of the lengths of the other two sides.

    The sum of the lengths of the two given sides is 250m + 435m = 685m.

    The difference of the lengths of the two given sides is 435m - 250m = 185m.

    Therefore, the length of the third side must be between 185m and 685m.

    However, the perimeter of the triangle is given as 898m, which is the sum of the lengths of all three sides. Therefore, the length of the third side is 898m - 250m - 435m = 213m.

    ### Answer: The length of the third side of the triangle is 213m.

    Note: This answer assumes that the triangle is a valid triangle with a positive area. If the triangle is not a valid triangle, then the length of the third side cannot be determined.

Expected answer: 213

Correct? Yes

🔗 Problem

Problem: An equilateral triangle has a total perimeter of 405 cm. Can you determine the length of each side?

Gemma 2B:

     Reasoning: An equilateral triangle has all sides of equal length. The formula for the perimeter of a triangle is:
    Perimeter = a + b + c
    where a, b, and c are the lengths of the sides.

    Since an equilateral triangle has all sides of equal length, the formula for the perimeter simplifies to:
    Perimeter = 3 * side length

    We can find the length of one side by dividing the perimeter by 3:
    Side length = Perimeter / 3
    = 405 cm / 3
    = 135 cm

    ### Answer: The length of each side is 135 cm.

Expected answer: 135

Correct? Yes

🔗 Problem

Problem: Somehow you got lost in the forest and got trapped in a mysterious place where you find an equilateral triangle-shaped space. The total perimeter of this space is 612 meters. Can you find out the length of each side of this triangle?

Gemma 2B:

     Reasoning: An equilateral triangle has all sides of equal length. The perimeter of an equilateral triangle is the sum of the lengths of all its sides.

    Let's denote the length of one side as "a". Then, the perimeter P = 3 \* a.

    We are given that P = 612 meters.

    So, 3 \* a = 612, which means a = 612 / 3 = <<612/3=204>>204 meters.

    Since the triangle is equilateral, all sides have the same length, which is 204 meters.
    ### Answer: The length of each side of the equilateral triangle is 204 meters.

Expected answer: 204

Correct? Yes

🔗 Problem

Problem: An equilateral triangle has a perimeter of 591 cm. Can you find the length of each side of this triangle?

Gemma 2B:

     Reasoning: An equilateral triangle has all sides of equal length. The formula for the perimeter of a triangle is:
    Perimeter = a + b + c
    where a, b, and c are the lengths of the sides.

    Since an equilateral triangle has all sides of equal length, the formula for the perimeter simplifies to:
    Perimeter = 3 * side length

    We can find the length of a side by dividing the perimeter by 3:
    Side length = Perimeter / 3
    = 591 cm / 3
    = 197 cm

    ### Answer: The length of each side of the equilateral triangle is 197 cm.

Expected answer: 197

Correct? Yes

🔗 Problem

Problem: An equilateral triangle has a perimeter of 858m. What is the length of each of its sides?

Gemma 2B:

     An equilateral triangle has all sides of equal length. The formula for the perimeter of an equilateral triangle is:

    Perimeter = Side length × Number of sides

    We are given the perimeter and we need to find the side length. We know that the number of sides in an equilateral triangle is 3.

    Side length = Perimeter / Number of sides

    Side length = 858m / 3

    Side length = 286m

    ### Answer: The length of each side of the equilateral triangle is 286m.

Expected answer: 286

Correct? Yes

🔗 Problem

Problem: An equilateral triangle has a perimeter of 543 meters. What is the length of each of its sides?

Gemma 2B:

     Reasoning: An equilateral triangle has all sides of equal length. The formula for the perimeter of a triangle is:
    Perimeter = a + b + c
    where a, b, and c are the lengths of the sides.

    Since an equilateral triangle has all sides of equal length, the formula for the perimeter simplifies to:
    Perimeter = 3 * side length

    We can find the length of a side by dividing the perimeter by 3:
    Side length = Perimeter / 3
    = 543 meters / 3
    = <<543/3=181>>181 meters

    ### Answer: The length of each side of the equilateral triangle is 181 meters.

Expected answer: 181

Correct? Yes

🔗 Problem

Problem: A triangle has three equal sides. If the perimeter of the triangle is 255 meters, what is the length of each side?

Gemma 2B:

     Reasoning: A triangle with three equal sides is called an equilateral triangle.
    The formula for the perimeter of a triangle is Perimeter = a + b + c, where a, b, and c are the lengths of the sides.
    Since it's an equilateral triangle, a = b = c.
    So, the formula becomes Perimeter = 3 * a.
    We are given the Perimeter = 255 meters.
    Therefore, 3 * a = 255.
    Solving for a, we get a = 255 / 3 = <<255/3=85>>85 meters.
    ### Answer: The length of each side is 85 meters.

Expected answer: 85

Correct? Yes

🔗 Problem

Problem: An equilateral triangle has a perimeter of 570mm. Find the length of each side of this triangle.

Gemma 2B:

     Reasoning: An equilateral triangle has all sides of equal length. The formula for the perimeter of a triangle is:
    Perimeter = a + b + c
    where a, b, and c are the lengths of the sides.

    Since an equilateral triangle has all sides of equal length, the formula for the perimeter simplifies to:
    Perimeter = 3 * side length

    We can find the length of a side by dividing the perimeter by 3:
    Side length = Perimeter / 3
    = 570 mm / 3
    = <<570/3=190>>190 mm

    ### Answer: The length of each side of the equilateral triangle is 190 mm.

Expected answer: 190

Correct? Yes

🔗 Problem

Problem: An equilateral triangle has a perimeter of 129m. What is the length of each of its sides?

Gemma 2B:

     Reasoning: An equilateral triangle has all sides of equal length. The formula for the perimeter of a triangle is:
    Perimeter = a + b + c
    where a, b, and c are the lengths of the sides.

    Since an equilateral triangle has all sides of equal length, the formula for the perimeter simplifies to:
    Perimeter = 3 * side length

    We can find the length of a side by dividing the perimeter by 3:
    side length = Perimeter / 3
    = 129 m / 3
    = <<129/3=43>>43 m

    ### Answer: The length of each side of the equilateral triangle is 43 m.

Expected answer: 43

Correct? Yes

🔗 Problem

Problem: An equilateral triangle has a perimeter of 858 meters. What is the length of each of its sides?

Gemma 2B:

     Reasoning: An equilateral triangle has all sides of equal length. Its perimeter is the sum of the lengths of all its sides.
    Let the length of each side of the triangle be x meters.
    The perimeter of the triangle is 858 meters.
    So, 3x = 858
    x = 858 / 3
    x = 286 meters
    ### Answer: The length of each side of the equilateral triangle is 286 meters.

Expected answer: 286

Correct? Yes

🔗 Problem

Problem: A triangle has a perimeter of 513 km, and it's known to be an equilateral triangle - meaning all three sides are of equal length. Can you determine how long each side of this triangle is?

Gemma 2B:

     Reasoning: An equilateral triangle has all sides of equal length. The perimeter of a triangle is the sum of its sides.
    So, each side of this triangle is the perimeter divided by 3:
    513 km / 3 = <<513/3=171>>171 km.
    ### Answer: 171 km.

Expected answer: 171

Correct? Yes

🔗 Problem

Problem: A triangular field has a perimeter of 828 meters. Two sides of the field are 105 and 434 meters long. How long is the third side of the field?

Gemma 2B:

     Reasoning: The perimeter of a triangle is the sum of the lengths of its sides. Let's denote the length of the third side as x.
    Then, the equation for the perimeter is: 105 + 434 + x = 828.
    Solving for x, we get: x = 828 - 105 - 434 = 399 meters.
    ### Answer: 399 meters.

Expected answer: 289

Correct? No

🔗 Problem

Problem: The perimeter of a triangle is 773 cm. Two of its sides measure 37 cm and 559 cm, respectively. Find the length of the third side?

Gemma 2B:

     Reasoning: The perimeter of a triangle is the sum of the lengths of its sides. Let's denote the length of the third side as x.
    Then, we have the equation: 37 + 559 + x = 773.
    Solving for x, we get: x = 773 - 37 - 559 = <<773-37-559=177>>177 cm.
    ### Answer: 177 cm.

Expected answer: 177

Correct? Yes

🔗 Problem

Problem: An equilateral triangle has a perimeter of 714m. What is the length of each of its sides?

Gemma 2B:

     Reasoning: An equilateral triangle has all sides of equal length. Its perimeter is the sum of the lengths of all its sides.
    Let the length of each side of the triangle be x meters.
    The perimeter of the triangle is 714 meters.
    So, 3x = 714
    x = 714/3 = 238 meters
    ### Answer: The length of each side of the triangle is 238 meters.

Expected answer: 238

Correct? Yes

🔗 Problem

Problem: In a large triangular garden, one of its sides is 147m and another side is 590m. If the perimeter of the garden is 792m, can you find the length of the third side?

Gemma 2B:

     Reasoning: The perimeter of a triangle is the sum of the lengths of all its sides. We are given two sides and the perimeter of the triangle.
    Let's denote the length of the third side as x.
    The perimeter of the triangle is 792m, so we can write the equation: 147 + 590 + x = 792.
    Solving for x, we get: x = 792 - 147 - 590 = 65.
    ### Answer: The length of the third side is 65m.

Expected answer: 55

Correct? No

🔗 Problem

Problem: The perimeter of a triangle is 871 meters. One of the sides is 321 meters long and another is 528 meters long. What is the length of the third side?

Gemma 2B:

     Reasoning: The third side of the triangle (a) can be found using the formula:
    a^2 = (b^2 + c^2) - 2bc * cos(A)
    where b and c are the lengths of the other two sides and A is the angle between them.

    However, we don't have the measure of angle A. But, since the triangle is valid, we know that the length of the third side must be between:
    b - c and b + c

    In this case, b = 321 meters and c = 528 meters. So, the length of the third side must be between:
    321 - 528 = -207 (not possible, since length cannot be negative)
    and
    321 + 528 = 849 meters

    Therefore, the length of the third side must be between 0 and 849 meters.

    But, since the perimeter of the triangle is 871 meters, the length of the third side must be 871 - 321 - 528 = 24 meters.
    ### Answer: 24 meters

Expected answer: 22

Correct? No

🔗 Problem

Problem: A triangle has a perimeter of 991m. Two sides of the triangle measure 424m and 246m respectively. Find the length of the third side of the triangle.

Gemma 2B:

     Reasoning: The perimeter of a triangle is the sum of the lengths of its sides. Let's denote the length of the third side as "x". We know that:

    424m + 246m + x = 991m

    To find the length of the third side, we need to solve this equation for x:

    x = 991m - 424m - 246m
    x = 321m

    ### Answer: The length of the third side of the triangle is 321m.

Expected answer: 321

Correct? Yes

🔗 Problem

Problem: An equilateral triangle has a perimeter of 936m. How long is each side of the triangle?

Gemma 2B:

     Reasoning: An equilateral triangle has all sides of equal length. The formula for the perimeter of a triangle is:
    Perimeter = a + b + c
    where a, b, and c are the lengths of the sides.

    Since an equilateral triangle has all sides of equal length, the formula for the perimeter simplifies to:
    Perimeter = 3 * side length

    We can find the length of a side by dividing the perimeter by 3:
    Side length = Perimeter / 3
    = 936m / 3
    = 312m
    ### Answer: 312 meters

Expected answer: 312

Correct? Yes

🔗 Problem

Problem: A triangle has a perimeter of 721m. Two of its sides have lengths of 204m and 195m, respectively. What is the length of the third side of the triangle?

Gemma 2B:

     Reasoning: The perimeter of a triangle is the sum of the lengths of its sides. Let's denote the length of the third side as "a". We know that:
    204m + 195m + a = 721m

    To find the length of the third side, we need to solve for "a":
    a = 721m - 204m - 195m
    a = 322m
    ### Answer: 322m

Expected answer: 322

Correct? Yes

🔗 Problem

Problem: An equilateral triangle has a perimeter of 201m. What is the length of each of its sides?

Gemma 2B:

     Reasoning: An equilateral triangle has all sides of equal length. The formula for the perimeter of a triangle is:
    Perimeter = a + b + c
    where a, b, and c are the lengths of the sides.

    Since an equilateral triangle has all sides of equal length, the formula for the perimeter simplifies to:
    Perimeter = 3 * side length

    We can find the length of a side by dividing the perimeter by 3:
    side length = Perimeter / 3
    = 201 m / 3
    = <<201/3=67>>67 m

    ### Answer: The length of each side of the equilateral triangle is 67 m.

Expected answer: 67

Correct? Yes

🔗 Problem

Problem: A large equilateral triangle has a perimeter of 756m. Find the length of each of its sides.

Gemma 2B:

     Reasoning: An equilateral triangle has all sides of equal length. Its perimeter is the sum of the lengths of all its sides. So, if we divide the perimeter by the number of sides (which is 3 for a triangle), we will get the length of each side.

    Length of each side = Perimeter / Number of sides
    = 756m / 3
    = 252m
    ### Answer: 252m

Expected answer: 252

Correct? Yes

🔗 Problem

Problem: The perimeter of a triangle is 923m. Two of its sides are 735m and 144m long respectively. What is the length of the third side?

Gemma 2B:

     Reasoning: The perimeter of a triangle is the sum of the lengths of its sides. Let's denote the length of the third side as x.
    Then, we have the equation: 735m + 144m + x = 923m
    Solving for x, we get: x = 923m - 735m - 144m = <<923-735-144=44>>44m
    ### Answer: 44m

Expected answer: 44

Correct? Yes

🔗 Problem

Problem: An equilateral triangle has a perimeter of 813 cm. What is the length of each of its sides?

Gemma 2B:

     Reasoning: An equilateral triangle has all sides of equal length. The formula for the perimeter of a triangle is:
    Perimeter = a + b + c
    where a, b, and c are the lengths of the sides.

    Since an equilateral triangle has all sides of equal length, the formula for the perimeter simplifies to:
    Perimeter = 3 * side length

    We can find the length of a side by dividing the perimeter by 3:
    side length = Perimeter / 3
    = 813 cm / 3
    = 271 cm

    ### Answer: The length of each side of the equilateral triangle is 271 cm.

Expected answer: 271

Correct? Yes

🔗 Problem

Problem: An equilateral triangle has a perimeter of 834 feet. What is the length of each of its sides?

Gemma 2B:

     Reasoning: An equilateral triangle has all sides of equal length. The formula for the perimeter of a triangle is:
    Perimeter = a + b + c
    where a, b, and c are the lengths of the sides.

    Since an equilateral triangle has all sides of equal length, the formula for the perimeter simplifies to:
    Perimeter = 3 * side length

    We can find the length of a side by dividing the perimeter by 3:
    side length = Perimeter / 3
    = 834 feet / 3
    = 278 feet
    ### Answer: 278 feet

Expected answer: 278

Correct? Yes

🔗 Problem

Problem: A triangle has a perimeter of 105m and all its sides are equal in length. How long is one side of the triangle?

Gemma 2B:

     Reasoning: Since all sides of the triangle are equal in length, this is an equilateral triangle.
    The perimeter of a triangle is the sum of its sides.
    So, each side of the triangle is 105m / 3 = <<105/3=35>>35m.
    ### Answer: 35 m

Expected answer: 35

Correct? Yes

🔗 Problem

Problem: A triangle has a perimeter of 195cm. Given that all sides of the triangle are equal, what is the length of each side?

Gemma 2B:

     Reasoning: Since all sides of the triangle are equal, we can divide the perimeter by 3 to find the length of each side.
    Length of each side = Perimeter / 3
    = 195 cm / 3
    = <<195/3=65>>65 cm
    ### Answer: 65 cm

Expected answer: 65

Correct? Yes

🔗 Problem

Problem: A triangle has a perimeter of 919m. You know that one of its sides is 350m long and the other side is 154m long. What is the length of the third side?

Gemma 2B:

     Reasoning: The perimeter of a triangle is the sum of the lengths of its sides. Let's denote the length of the third side as x.
    Then, the equation for the perimeter is: 350 + 154 + x = 919.
    Solving for x, we get: x = 919 - 350 - 154 = <<919-350-154=415>>415.
    ### Answer: 415 m

Expected answer: 415

Correct? Yes

🔗 Problem

Problem: A triangle has a perimeter of 989m. You know that two of its sides are 128m and 288m long respectively. What is the length of the third side?

Gemma 2B:

     Reasoning: The perimeter of a triangle is the sum of the lengths of its sides. Let's denote the length of the third side as x.
    Then, the equation for the perimeter is: 128 + 288 + x = 989.
    Solving for x, we get: x = 989 - 128 - 288 = <<989-128-288=573>>573 meters.
    ### Answer: 573 meters.

Expected answer: 573

Correct? Yes

🔗 Problem

Problem: An equilateral triangle has a perimeter of 321 meters. If all sides are equal, what is the length of each side of the triangle?

Gemma 2B:

     Reasoning: The perimeter of an equilateral triangle is the sum of the lengths of all its sides. Since all sides are equal, we can divide the perimeter by the number of sides to find the length of each side.
    Length of each side = Perimeter / Number of sides
    Length of each side = 321 meters / 3
    ### Answer: 107 meters

Expected answer: 107

Correct? Yes

🔗 Problem

Problem: An equilateral triangle has a perimeter of 258 cm. What is the length of each of its sides?

Gemma 2B:

     Reasoning: An equilateral triangle has all sides of equal length. The formula for the perimeter of a triangle is:
    Perimeter = a + b + c
    where a, b, and c are the lengths of the sides.

    Since an equilateral triangle has all sides of equal length, the formula for the perimeter simplifies to:
    Perimeter = 3 * side length

    We can find the length of a side by dividing the perimeter by 3:
    side length = Perimeter / 3
    = 258 cm / 3
    = 86 cm
    ### Answer: 86 cm

Expected answer: 86

Correct? Yes

🔗 Problem

Problem: An equilateral triangle has a perimeter of 75m. What is the length of each side of the triangle?

Gemma 2B:

     Reasoning: An equilateral triangle has all sides of equal length. The formula for the perimeter of a triangle is:
    Perimeter = a + b + c
    where a, b, and c are the lengths of the sides.

    Since an equilateral triangle has all sides of equal length, the formula for the perimeter simplifies to:
    Perimeter = 3 * side length

    We can find the length of a side by dividing the perimeter by 3:
    side length = Perimeter / 3
    = 75m / 3
    = 25m
    ### Answer: 25m

Expected answer: 25

Correct? Yes

🔗 Problem

Problem: The perimeter of a triangle is 979m. Two of its sides are 620m and 80m respectively. What is the length of the third side?

Gemma 2B:

     Reasoning: The third side of the triangle must be greater than the difference of the other two sides and less than their sum for the triangle to exist. So, 80 < third side < 620 + 80, which means 80 < third side < 700. Also, the perimeter of a triangle is the sum of its sides, so the third side must be 979 - 620 - 80 = <<979-620-80=279>>279m.
    ### Answer: 279m

Expected answer: 279

Correct? Yes

🔗 Problem

Problem: An equilateral triangle has a perimeter of 966 meters. What is the length of each side of this triangle?

Gemma 2B:

     Reasoning: An equilateral triangle has all sides of equal length. The formula for the perimeter of a triangle is:
    Perimeter = a + b + c
    where a, b, and c are the lengths of the sides.

    Since an equilateral triangle has all sides of equal length, the formula for the perimeter simplifies to:
    Perimeter = 3 * side length

    We can find the length of a side by dividing the perimeter by 3:
    side length = Perimeter / 3
    = 966 meters / 3
    = <<966/3=322>>322 meters

    ### Answer: The length of each side of the equilateral triangle is 322 meters.

Expected answer: 322

Correct? Yes

🔗 Problem

Problem: An equilateral triangle has a perimeter of 486 cm. What is the length of each of its sides?

Gemma 2B:

     Reasoning: An equilateral triangle has all sides of equal length. The formula for the perimeter of a triangle is:
    Perimeter = a + b + c
    where a, b, and c are the lengths of the sides.

    Since an equilateral triangle has all sides of equal length, the formula for the perimeter simplifies to:
    Perimeter = 3 * side length

    We can find the length of a side by dividing the perimeter by 3:
    Side length = Perimeter / 3
    = 486 cm / 3
    = 162 cm
    ### Answer: 162 cm

Expected answer: 162

Correct? Yes

🔗 Problem

Problem: An equilateral triangle has a perimeter of 948 meters. What is the length of each of its sides?

Gemma 2B:

     Reasoning: An equilateral triangle has all sides of equal length. The formula for the perimeter of a triangle is:
    Perimeter = a + b + c
    where a, b, and c are the lengths of the sides.

    Since an equilateral triangle has all sides of equal length, the formula for the perimeter simplifies to:
    Perimeter = 3 * side length

    We can find the length of a side by dividing the perimeter by 3:
    side length = Perimeter / 3
    = 948 / 3
    = <<948/3=316>>316 meters

    ### Answer: The length of each side of the equilateral triangle is 316 meters.

Expected answer: 316

Correct? Yes

🔗 Problem

Problem: A scalene triangle has three sides of different lengths. The first side is 252m, and the second side is 687m. The total perimeter of the triangle is 998m. Can you find the length of the third side?

Gemma 2B:

     Reasoning: The perimeter of a triangle is the sum of the lengths of its sides. We are given two sides and the total perimeter.
    Let's denote the length of the third side as x.
    Then, the equation for the perimeter is: 252 + 687 + x = 998.
    Solving for x, we get: x = 998 - 252 - 687 = 69.
    ### Answer: 69m

Expected answer: 59

Correct? No

🔗 Problem

Problem: An equilateral triangle has a perimeter of 618m. What is the length of each of its sides?

Gemma 2B:

     An equilateral triangle has all sides of equal length. The formula for the perimeter of an equilateral triangle is Perimeter = 3 \* side length.

    We are given the Perimeter = 618 m.

    So, 618 = 3 \* side length

    Side length = 618 / 3 = <<618/3=206>>206 m

    ### Answer: The length of each side of the equilateral triangle is 206 m.

Expected answer: 206

Correct? Yes

🔗 Problem

Problem: An equilateral triangle has a perimeter of 483 meters. How long is each side?

Gemma 2B:

     Reasoning: An equilateral triangle has all sides of equal length. The formula for the perimeter of a triangle is:
    Perimeter = a + b + c
    where a, b, and c are the lengths of the sides.

    Since an equilateral triangle has all sides of equal length, the formula for the perimeter simplifies to:
    Perimeter = 3 * side length

    We can find the length of a side by dividing the perimeter by 3:
    side length = Perimeter / 3
    = 483 meters / 3
    = 161 meters
    ### Answer: 161 meters

Expected answer: 161

Correct? Yes

🔗 Problem

Problem: A triangle has a perimeter of 804m. One of its sides is 262m long and another is 90m long. What is the length of the third side?

Gemma 2B:

     Reasoning: The third side can be any length that makes the triangle valid. However, we can use the triangle inequality theorem to find the possible lengths of the third side. The theorem states that the length of any side of a triangle is less than the sum of the lengths of the other two sides and greater than the difference of the lengths of the other two sides.

    So, the third side must be between:
    90m - 262m = -172m and 90m + 262m = 352m.

    However, a negative length is not possible, so the third side must be greater than 0.

    Since the perimeter is 804m, the third side must be:
    804m - 262m - 90m = 452m.

    ### Answer: The length of the third side is 452m.

Expected answer: 452

Correct? Yes

🔗 Problem

Problem: A large triangle has a perimeter of 925m. Two of its sides are 183m and 498m, respectively. What is the length of the third side?

Gemma 2B:

     Reasoning: The perimeter of a triangle is the sum of the lengths of its sides. Let's denote the length of the third side as x.
    Then, the equation for the perimeter is: 183 + 498 + x = 925.
    Solving for x, we get: x = 925 - 183 - 498 = 244.
    ### Answer: 244 meters.

Expected answer: 244

Correct? Yes

🔗 Problem

Problem: A scalene triangle has a total perimeter of 573m. One of its sides measures 103m and another side measures 386m. What is the length of the third side?

Gemma 2B:

     Reasoning: The perimeter of a triangle is the sum of the lengths of its sides. Let's denote the length of the third side as "x".
    Then, the equation for the perimeter is: 103 + 386 + x = 573.
    Solving for x, we get: x = 573 - 103 - 386 = 94.
    ### Answer: 94m

Expected answer: 84

Correct? No

🔗 Problem

Problem: An equilateral triangle has a perimeter of 330m. What is the length of each of its sides?

Gemma 2B:

     Reasoning: An equilateral triangle has all sides of equal length. The formula for the perimeter of a triangle is:
    Perimeter = a + b + c
    where a, b, and c are the lengths of the sides.

    Since an equilateral triangle has all sides of equal length, the formula for the perimeter simplifies to:
    Perimeter = 3 * side length

    We can find the length of a side by dividing the perimeter by 3:
    side length = Perimeter / 3
    = 330 m / 3
    = 110 m
    ### Answer: 110 m

Expected answer: 110

Correct? Yes

🔗 Problem

Problem: A triangle has a perimeter of 850m. Two of its sides have lengths of 57m and 426m, respectively. What is the length of the third side?

Gemma 2B:

     Reasoning: The perimeter of a triangle is the sum of the lengths of its sides. Let's denote the length of the third side as x.
    Then, we have the equation: 57 + 426 + x = 850.
    Solving for x, we get: x = 850 - 57 - 426 = <<850-57-426=367>>367 meters.
    ### Answer: 367 meters

Expected answer: 367

Correct? Yes

🔗 Problem

Problem: A triangle has a perimeter of 764m. Two of its sides are 265m and 56m in length. What is the length of the third side?

Gemma 2B:

     Reasoning: The perimeter of a triangle is the sum of the lengths of its sides. Let's denote the length of the third side as x.
    Then, the equation for the perimeter is: 265m + 56m + x = 764m
    Solving for x, we get: x = 764m - 265m - 56m = <<764-265-56=443>>443m
    ### Answer: 443m

Expected answer: 443

Correct? Yes

🔗 Problem

Problem: An equilateral triangle has a perimeter of 723cm. What is the length of each of its sides?

Gemma 2B:

     An equilateral triangle has all sides of equal length. The formula for the perimeter of a triangle is:
    Perimeter = a + b + c
    where a, b, and c are the lengths of the sides.

    Since an equilateral triangle has sides of equal length, the formula for the perimeter simplifies to:
    Perimeter = 3 * side length

    We are given the perimeter and we need to find the length of a side, so we can rearrange the formula to solve for side length:
    side length = Perimeter / 3

    Substituting the given perimeter:
    side length = 723 cm / 3
    side length = 241 cm

    ### Answer: The length of each side of the equilateral triangle is 241 cm.

Expected answer: 241

Correct? Yes

🔗 Problem

Problem: A triangle has a side with a length of 315m and another side with a length of 100m. If the perimeter of the triangle is 738m, what is the length of the third side?

Gemma 2B:

     Reasoning: The perimeter of a triangle is the sum of the lengths of its sides. Let's denote the length of the third side as x.
    We know that 315m + 100m + x = 738m, so x = 738 - 315 - 100 = 323.
    ### Answer: 323m

Expected answer: 323

Correct? Yes

🔗 Problem

Problem: A triangle has a perimeter of 762m. If one of the sides measures 131m, and the other side is 147m long, what is the length of the third side?

Gemma 2B:

     Reasoning: The perimeter of a triangle is the sum of the lengths of its sides. Let's denote the length of the third side as x.
    We know that 131m + 147m + x = 762m, so x = 762 - 131 - 147 = 484m.
    ### Answer: 484m

Expected answer: 484

Correct? Yes

🔗 Problem

Problem: A triangle has a perimeter of 784m and you know the sum of two of its sides is 472m. What is the length of the third side?

Gemma 2B:

     Reasoning: Let's denote the length of the third side as x.
    The perimeter of a triangle is the sum of its sides, so we can write the equation: 472 + x = 784.
    Solving for x, we get x = 784 - 472 = <<784-472=312>>312.
    ### Answer: The length of the third side is 312m.

Expected answer: 312

Correct? Yes

🔗 Problem

Problem: An equilateral triangle has a perimeter of 543mm. What is the length of each of its sides?

Gemma 2B:

     Reasoning: An equilateral triangle has all sides of equal length. The formula for the perimeter of a triangle is:
    Perimeter = a + b + c
    where a, b, and c are the lengths of the sides.

    Since an equilateral triangle has all sides of equal length, the formula for the perimeter simplifies to:
    Perimeter = 3 * side length

    We can find the length of a side by dividing the perimeter by 3:
    side length = Perimeter / 3
    = 543 mm / 3
    = 181 mm

    ### Answer: The length of each side of the equilateral triangle is 181 mm.

Expected answer: 181

Correct? Yes

🔗 Problem

Problem: A triangle has a first side length of 287m, a second side length of 475m, and a perimeter of 867m. What is the length of the third side?

Gemma 2B:

     Reasoning: The formula for the perimeter of a triangle is: Perimeter = a + b + c, where a, b, and c are the side lengths.
    We are given two side lengths (a = 287m and b = 475m) and the perimeter (867m).
    We can find the length of the third side (c) by rearranging the formula to: c = Perimeter - a - b.
    So, c = 867 - 287 - 475 = 105 meters.
    ### Answer: 105 meters

Expected answer: 105

Correct? Yes

🔗 Problem

Problem: The perimeter of a triangle is 934m. The lengths of two of its sides add up to 838m (one is 828m and the other is 10m). What is the length of the third side?

Gemma 2B:

     Reasoning: The perimeter of a triangle is the sum of the lengths of its sides. If two sides add up to 838m, then the third side must be the difference between the perimeter and the sum of the two sides:
    934m - 838m = <<934-838=96>>96m.
    ### Answer: 96m

Expected answer: 96

Correct? Yes

🔗 Problem

Problem: A triangle has a perimeter of 677m. Two of its sides measure 109m and 530m respectively. What is the length of the third side?

Gemma 2B:

     Reasoning: The perimeter of a triangle is the sum of the lengths of its sides. Let's denote the length of the third side as x.
    Then, 109m + 530m + x = 677m
    x = 677m - 109m - 530m
    x = 68m
    ### Answer: 68m

Expected answer: 38

Correct? No

🔗 Problem

Problem: An equilateral triangle has a perimeter of 582 cm. What is the length of each of its sides?

Gemma 2B:

     Reasoning: An equilateral triangle has all sides of equal length. The formula for the perimeter of a triangle is:
    Perimeter = a + b + c
    where a, b, and c are the lengths of the sides.

    Since an equilateral triangle has all sides of equal length, the formula for the perimeter simplifies to:
    Perimeter = 3 * side length

    We can find the length of a side by dividing the perimeter by 3:
    side length = Perimeter / 3
    = 582 cm / 3
    = <<582/3=194>>194 cm

    ### Answer: The length of each side of the equilateral triangle is 194 cm.

Expected answer: 194

Correct? Yes

🔗 Problem

Problem: A triangle has a perimeter of 499m. Its largest side is 259m long, and one of the other sides is 11m long. What is the length of the last side?

Gemma 2B:

     Reasoning: The perimeter of a triangle is the sum of the lengths of its sides. Let's denote the length of the last side as x.
    We know that 259m + 11m + x = 499m, so x = 499 - 259 - 11 = 229.
    ### Answer: 229m

Expected answer: 229

Correct? Yes

🔗 Problem

Problem: An equilateral triangle has a perimeter of 966m. What is the length of each of its sides?

Gemma 2B:

     Reasoning: An equilateral triangle has all sides of equal length. The formula for the perimeter of a triangle is:
    Perimeter = a + b + c
    where a, b, and c are the lengths of the sides.

    Since an equilateral triangle has all sides of equal length, the formula for the perimeter simplifies to:
    Perimeter = 3 * side length

    We can find the length of a side by dividing the perimeter by 3:
    side length = Perimeter / 3
    = 966 / 3
    = 322 meters
    ### Answer: 322 meters

Expected answer: 322

Correct? Yes

🔗 Problem

Problem: An equilateral triangle has a perimeter of 894 inches. What is the length of each side of the triangle?

Gemma 2B:

     Reasoning: An equilateral triangle has all sides of equal length. The formula for the perimeter of a triangle is:
    Perimeter = a + b + c
    where a, b, and c are the lengths of the sides.

    Since an equilateral triangle has all sides of equal length, the formula for the perimeter simplifies to:
    Perimeter = 3 * side length

    We can find the length of a side by dividing the perimeter by 3:
    Side length = Perimeter / 3
    = 894 inches / 3
    = 298 inches
    ### Answer: 298 inches

Expected answer: 298

Correct? Yes

🔗 Problem

Problem: An equilateral triangle has a perimeter of 891cm. What is the length of each of its sides?

Gemma 2B:

     An equilateral triangle has all sides of equal length. The formula for the perimeter of an equilateral triangle is:

    Perimeter = Side length × Number of sides

    We are given the perimeter and we need to find the length of a side. We know that the number of sides in an equilateral triangle is 3.

    So, Side length = Perimeter / Number of sides

    Side length = 891 cm / 3

    Side length = 297 cm

    ### Answer: The length of each side of the equilateral triangle is 297 cm.

Expected answer: 297

Correct? Yes

🔗 Problem

Problem: A triangle has a perimeter of 762 meters. Two sides of these triangle are known to be 122 meters and 245 meters long respectively. Can you calculate the length of the third side?

Gemma 2B:

     Reasoning: The perimeter of a triangle is the sum of the lengths of its sides. Let's denote the length of the third side as x.
    We know that 122 + 245 + x = 762, so x = 762 - 122 - 245 = 395 meters.
    ### Answer: 395 meters.

Expected answer: 395

Correct? Yes

🔗 Problem

Problem: An equilateral triangle has a perimeter of 411m. What is the length of each side of the triangle?

Gemma 2B:

     An equilateral triangle has all sides of equal length. The formula for the perimeter of an equilateral triangle is Perimeter = 3 \* side length.

    We are given that the perimeter is 411m. So,

    411m = 3 \* side length

    Side length = 411m / 3

    Side length = 137m

    ### Answer: 137 meters

Expected answer: 137

Correct? Yes

🔗 Problem

Problem: A triangle has three identical sides and the total length of the sides is 72m. What is the length of each side of the triangle?

Gemma 2B:

     Reasoning: A triangle with three identical sides is called an equilateral triangle. The total length of the sides of an equilateral triangle is divided equally among its three sides.
    Therefore, the length of each side of the triangle is 72/3 = <<72/3=24>>24 meters.
    ### Answer: 24 meters

Expected answer: 24

Correct? Yes

🔗 Problem

Problem: A large triangle has a perimeter of 930 meters. Two of its sides measure 537 meters and 68 meters respectively. What is the length of the third side?

Gemma 2B:

     Reasoning: The perimeter of a triangle is the sum of the lengths of its sides. Let's denote the length of the third side as x.
    Then, 537 + 68 + x = 930, which simplifies to x = 930 - 537 - 68 = <<930-537-68=325>>325 meters.
    ### Answer: 325 meters

Expected answer: 325

Correct? Yes

🔗 Problem

Problem: An equilateral triangle has a perimeter of 657 meters. What is the length of each of its sides?

Gemma 2B:

     Reasoning: An equilateral triangle has all sides of equal length. The formula for the perimeter of a triangle is:
    Perimeter = a + b + c
    where a, b, and c are the lengths of the sides.

    Since an equilateral triangle has all sides of equal length, the formula for the perimeter simplifies to:
    Perimeter = 3 * side length

    We can find the length of a side by dividing the perimeter by 3:
    side length = Perimeter / 3
    = 657 meters / 3
    = <<657/3=219>>219 meters

    ### Answer: The length of each side of the equilateral triangle is 219 meters.

Expected answer: 219

Correct? Yes

🔗 Problem

Problem: A scalene triangle has a side that measures 368m and another side that measures 230m. If the perimeter of the triangle is 909m, what is the length of the third side?

Gemma 2B:

     Reasoning: Let's denote the length of the third side as "a". The formula for the perimeter of a triangle is:
    Perimeter = a + b + c
    where a, b, and c are the lengths of the sides.

    We are given:
    a = 368 m
    b = 230 m
    Perimeter = 909 m

    Now, we can substitute the given values into the formula:
    909 = 368 + 230 + a

    Now, we can solve for "a":
    909 = 698 + a
    a = 909 - 698
    a = 211 m
    ### Answer: The length of the third side is 211 m.

Expected answer: 311

Correct? No

🔗 Problem

Problem: A triangle has a perimeter of 700 m. Two of its sides are 140m and 525m long. What is the length of the third side?

Gemma 2B:

     Reasoning: The perimeter of a triangle is the sum of the lengths of its sides. Let's denote the length of the third side as x.
    We know that 140 + 525 + x = 700, so x = 700 - 140 - 525 = 35 meters.
    ### Answer: 35 m

Expected answer: 35

Correct? Yes

🔗 Problem

Problem: A triangle has a perimeter of 915cm. Two of its sides are 484cm and 130cm respectively. What length is the third side of the triangle?

Gemma 2B:

     Reasoning: The third side of the triangle must be greater than (915 - 484 - 130) cm = <<915-484-130=301>>301 cm and less than the sum of the other two sides (484 + 130) cm = <<484+130=614>>614 cm.
    Let's denote the length of the third side as x.
    According to the triangle inequality theorem, 301 < x < 614.
    Therefore, the length of the third side can be any value between 301 cm and 614 cm, inclusive.
    ### Answer: The third side of the triangle is between 301 cm and 614 cm.

Expected answer: 301

Correct? Yes

🔗 Problem

Problem: An equilateral triangle has a perimeter of 120 cm. How long is each side of the triangle?

Gemma 2B:

     Reasoning: An equilateral triangle has all sides of equal length. The formula for the perimeter of a triangle is:
    Perimeter = a + b + c
    where a, b, and c are the lengths of the sides.

    Since an equilateral triangle has all sides of equal length, the formula for the perimeter simplifies to:
    Perimeter = 3 * side length

    We can find the length of a side by dividing the perimeter by 3:
    side length = Perimeter / 3
    = 120 cm / 3
    = 40 cm
    ### Answer: Each side of the equilateral triangle is 40 cm long.

Expected answer: 40

Correct? Yes

🔗 Problem

Problem: A triangular field has a perimeter of 661m. Two sides of the field are known to be 382m and 151m respectively. What is the length of the third side?

Gemma 2B:

     Reasoning: The perimeter of a triangle is the sum of the lengths of all its sides. Let's denote the length of the third side as x.
    Then, the equation for the perimeter is: 382 + 151 + x = 661.
    Solving for x, we get: x = 661 - 382 - 151 = 128.
    ### Answer: 128 meters.

Expected answer: 128

Correct? Yes

🔗 Problem

Problem: A triangle has a total perimeter of 678 feet. Two of its sides measure 419 feet and 164 feet respectively. What is the length of the third side?

Gemma 2B:

     Reasoning: The length of the third side can be found using the triangle inequality theorem which states that the length of any side of a triangle is less than the sum of the lengths of the other two sides and greater than the difference of the lengths of the other two sides.

    The length of the third side must be between:
    164 - 419 = -255 (but a negative length doesn't make sense, so we need to find the absolute difference: |164 - 419| = 255)
    and
    164 + 419 = 583

    Since the total perimeter is 678, the length of the third side must be 678 - 419 - 164 = 95 feet.
    ### Answer: 95 feet.

Expected answer: 95

Correct? Yes

🔗 Problem

Problem: The perimeter of a triangle is 248m. Two of the sides are 186m and 37m long, respectively. What is the length of the remaining side?

Gemma 2B:

     Reasoning: The perimeter of a triangle is the sum of the lengths of its sides. Let's denote the length of the remaining side as x.
    Then, we have the equation: 186 + 37 + x = 248.
    Solving for x, we get: x = 248 - 186 - 37 = <<248-186-37=25>>25 m.
    ### Answer: 25 m.

Expected answer: 25

Correct? Yes

🔗 Problem

Problem: An equilateral triangle has a perimeter of 246 centimeters. What is the length of each of its sides?

Gemma 2B:

     Reasoning: An equilateral triangle has all sides of equal length. The formula for the perimeter of a triangle is:
    Perimeter = a + b + c
    where a, b, and c are the lengths of the sides.

    Since an equilateral triangle has all sides of equal length, the formula for the perimeter simplifies to:
    Perimeter = 3 * side length

    We can find the length of a side by dividing the perimeter by 3:
    side length = Perimeter / 3
    = 246 cm / 3
    = 82 cm
    ### Answer: 82 centimeters

Expected answer: 82

Correct? Yes

🔗 Problem

Problem: The total perimeter of a triangular field is 739 meters. Two of its sides measure 180 meters and 338 meters respectively. Find the length of the third side.

Gemma 2B:

     Reasoning: The perimeter of a triangle is the sum of the lengths of its sides. Let's denote the length of the third side as x.
    Then, x + 180 + 338 = 739, which simplifies to x = 739 - 180 - 338 = 221 meters.
    ### Answer: 221 meters.

Expected answer: 221

Correct? Yes

🔗 Problem

Problem: An equilateral triangle has a perimeter of 684cm. What is the length of each of its sides?

Gemma 2B:

     An equilateral triangle has all sides of equal length. The formula for the perimeter of an equilateral triangle is:

    Perimeter = Side length × Number of sides

    We are given the perimeter and we need to find the length of one side. We know that the number of sides for an equilateral triangle is 3.

    684 cm = Side length × 3

    Now, to find the length of one side, divide both sides of the equation by 3:

    Side length = 684 cm / 3

    Side length = 228 cm

    ### Answer: The length of each side of the equilateral triangle is 228 cm.

Expected answer: 228

Correct? Yes

🔗 Problem

Problem: An equilateral triangle has a perimeter of 537m. What is the length of each of its sides?

Gemma 2B:

     Reasoning: An equilateral triangle has all sides of equal length. The formula for the perimeter of a triangle is:
    Perimeter = a + b + c
    where a, b, and c are the lengths of the sides.

    Since an equilateral triangle has all sides of equal length, the formula for the perimeter simplifies to:
    Perimeter = 3 * side length

    We can find the length of a side by dividing the perimeter by 3:
    side length = Perimeter / 3
    = 537 m / 3
    = 179 m

    ### Answer: The length of each side of the equilateral triangle is 179 m.

Expected answer: 179

Correct? Yes

🔗 Problem

Problem: A triangle has a perimeter of 568m. The lengths of two of its sides are 110m and 205m. What is the length of the third side?

Gemma 2B:

     Reasoning: The perimeter of a triangle is the sum of the lengths of its sides. Let's denote the length of the third side as x.
    Then, the equation for the perimeter is: 110 + 205 + x = 568.
    Solving for x, we get: x = 568 - 110 - 205 = 253.
    ### Answer: 253m

Expected answer: 253

Correct? Yes

🔗 Problem

Problem: An equilateral triangle has a perimeter of 942mm. What is the length of each of its sides?

Gemma 2B:

     An equilateral triangle has all sides of equal length. The formula for the perimeter of an equilateral triangle is:

    Perimeter = Side length × 3

    We are given the perimeter, so we can solve for the side length as follows:

    Side length = Perimeter / 3

    Side length = 942 mm / 3

    Side length = <<942/3=314>>314 mm

    ### Answer: 314 mm

Expected answer: 314

Correct? Yes

🔗 Problem

Problem: A triangular garden has one side that is 325 meters long and another that is 15 meters long. The total perimeter of the triangle is 633 meters. What is the length of the third side of the garden?

Gemma 2B:

     Reasoning: The formula for the perimeter of a triangle is Perimeter = a + b + c, where a and b are the lengths of two sides and c is the length of the third side.
    We are given two sides of the triangle, a = 325 meters and b = 15 meters, and the perimeter Perimeter = 633 meters.
    We can find the length of the third side, c, by rearranging the formula to c = Perimeter - a - b.
    So, c = 633 - 325 - 15 = 293 meters.
    ### Answer: 293 meters.

Expected answer: 293

Correct? Yes

🔗 Problem

Problem: An equilateral triangle has a perimeter of 504 meters. What is the length of each side of the triangle?

Gemma 2B:

     Reasoning: An equilateral triangle has all sides of equal length. The formula for the perimeter of a triangle is:
    Perimeter = a + b + c
    where a, b, and c are the lengths of the sides.

    Since an equilateral triangle has all sides of equal length, the formula for the perimeter simplifies to:
    Perimeter = 3 * side length

    We can find the length of a side by dividing the perimeter by 3:
    side length = Perimeter / 3
    = 504 meters / 3
    = <<504/3=168>>168 meters

    ### Answer: The length of each side of the equilateral triangle is 168 meters.

Expected answer: 168

Correct? Yes

🔗 Problem

Problem: An equilateral triangle has a perimeter of 51 cm. What is the length of each of its sides?

Gemma 2B:

     Reasoning: An equilateral triangle has all sides of equal length. The formula for the perimeter of a triangle is:
    Perimeter = a + b + c
    where a, b, and c are the lengths of the sides.

    Since an equilateral triangle has all sides of equal length, the formula for the perimeter simplifies to:
    Perimeter = 3 * side length

    We can find the length of a side by dividing the perimeter by 3:
    side length = Perimeter / 3
    = 51 cm / 3
    = 17 cm
    ### Answer: 17 cm

Expected answer: 17

Correct? Yes

🔗 Problem

Problem: An equilateral triangle has a perimeter of 501 feet. What is the length of each side of the triangle?

Gemma 2B:

     Reasoning: An equilateral triangle has all sides of equal length. The formula for the perimeter of a triangle is:
    Perimeter = a + b + c
    where a, b, and c are the lengths of the sides.

    Since the triangle is equilateral, a = b = c. Therefore, the formula becomes:
    Perimeter = a + a + a

    We are given the perimeter as 501 feet. Therefore,
    501 = a + a + a
    501 = 3a
    a = 501 / 3
    a = 167 feet

    So, each side of the equilateral triangle is 167 feet long.
    ### Answer: 167 feet

Expected answer: 167

Correct? Yes

🔗 Problem

Problem: The perimeter of an equilateral triangle is 411 meters. What is the length of each side of the triangle?

Gemma 2B:

     Reasoning: The perimeter of an equilateral triangle is the sum of the lengths of all its sides. Since all sides of an equilateral triangle are equal in length, we can divide the perimeter by 3 to find the length of one side.

    Length of one side = Perimeter / 3
    Length of one side = 411 meters / 3
    Length of one side = 137 meters
    ### Answer: 137 meters

Expected answer: 137

Correct? Yes

🔗 Problem

Problem: An equilateral triangle has a perimeter of 114cm. What is the length of each of its sides?

Gemma 2B:

     Reasoning: An equilateral triangle has all sides of equal length. The formula for the perimeter of a triangle is:
    Perimeter = a + b + c
    where a, b, and c are the lengths of the sides.

    Since an equilateral triangle has all sides of equal length, the formula for the perimeter simplifies to:
    Perimeter = 3 * side length

    We can find the length of a side by dividing the perimeter by 3:
    side length = Perimeter / 3
    = 114 cm / 3
    = 38 cm
    ### Answer: 38 cm

Expected answer: 38

Correct? Yes

🔗 Problem

Problem: An equilateral triangle has a perimeter of 69m. What is the length of each of its sides?

Gemma 2B:

     Reasoning: An equilateral triangle has all sides of equal length. The formula for the perimeter of a triangle is:
    Perimeter = a + b + c
    where a, b, and c are the lengths of the sides.

    Since an equilateral triangle has all sides of equal length, the formula for the perimeter simplifies to:
    Perimeter = 3 * side length

    We can find the length of a side by dividing the perimeter by 3:
    side length = Perimeter / 3
    = 69 / 3
    = 23 m

    ### Answer: The length of each side of the equilateral triangle is 23 m.

Expected answer: 23

Correct? Yes

🔗 Problem

Problem: A triangle has sides of lengths 464m and 377m respectively. If the total perimeter of the triangle is 907m, what is the length of the third side?

Gemma 2B:

     Reasoning: The third side of the triangle can be found by subtracting the lengths of the other two sides from the total perimeter: 907m - 464m - 377m = 66m.
    ### Answer: 66m

Expected answer: 66

Correct? Yes

🔗 Problem

Problem: An equilateral triangle has a perimeter of 966m. What is the length of each of its sides?

Gemma 2B:

     Reasoning: An equilateral triangle has all sides of equal length. The formula for the perimeter of a triangle is:
    Perimeter = a + b + c
    where a, b, and c are the lengths of the sides.

    Since an equilateral triangle has all sides of equal length, the formula for the perimeter simplifies to:
    Perimeter = 3 * side length

    We can find the length of a side by dividing the perimeter by 3:
    side length = Perimeter / 3
    = 966 / 3
    = 322 meters
    ### Answer: 322 meters

Expected answer: 322

Correct? Yes