Common Core Standard 3.MD.D.8-triangle
This standard covers the following:
Solve real world and mathematical problems involving perimeters of polygons, including finding the perimeter given the side lengths, finding an unknown side length, and exhibiting rectangles with the same perimeter and different areas or with the same area and different perimeters.
Problem: An equilateral triangle has a perimeter of 990cm. What is the length of each of its sides?
Claude-3 Haiku:
Okay, let's solve this step-by-step: 1) An equilateral triangle has all sides of equal length. 2) The perimeter of a shape is the total distance around the shape. 3) For an equilateral triangle, the perimeter is 3 times the length of one side. 4) So, if the perimeter is 990cm, we can set up the equation: 3 * x = 990 5) Solving for x, we get: x = 990/3 6) Therefore, the length of each side of the equilateral triangle is 330cm. ### Answer: 330cm
Expected answer: 330
Correct? Yes
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?
Claude-3 Haiku:
Okay, let's solve this step-by-step: * The perimeter of the triangle is 997m * Two of the sides have lengths of 2m and 667m * We need to find the length of the third side To find the length of the third side, we can use the formula for the perimeter of a triangle: Perimeter = Side 1 + Side 2 + Side 3 Plugging in the known values: 997 = 2 + 667 + Side 3 997 = 669 + Side 3 Side 3 = 997 - 669 Side 3 = 328m ### Answer: 328m
Expected answer: 328
Correct? Yes
Problem: An equilateral triangle has a perimeter of 579 cm. What is the length of each of its sides?
Claude-3 Haiku:
Okay, let's solve this step-by-step: 1) An equilateral triangle has all sides of equal length. 2) The perimeter of a shape is the total distance around the shape. 3) For an equilateral triangle, the perimeter is 3 times the length of one side. 4) So, if the perimeter is 579 cm, we can set up the equation: 3 * x = 579 Where x is the length of one side. 5) Solving for x, we get: x = 579 / 3 x = 193 cm ### Answer: 193 cm
Expected answer: 193
Correct? Yes
Problem: An equilateral triangle has a perimeter of 684m. What is the length of each of its sides?
Claude-3 Haiku:
Okay, let's solve this step-by-step: 1) An equilateral triangle has all sides of equal length. 2) The perimeter of a shape is the total distance around the shape. 3) For an equilateral triangle, the perimeter is 3 times the length of one side. 4) So, if the perimeter is 684m, we can set up the equation: 3 * x = 684 Where x is the length of one side. 5) Solving for x, we get: x = 684 / 3 x = 228m ### Answer: 228m
Expected answer: 228
Correct? Yes
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?
Claude-3 Haiku:
Okay, let's solve this step-by-step: * The perimeter of the triangle is 503 meters * One side of the triangle is 223 meters long * Another side of the triangle is 46 meters long * To find the length of the remaining side, we can use the formula for the perimeter of a triangle: Perimeter = Side 1 + Side 2 + Side 3 503 = 223 + 46 + Side 3 Side 3 = 503 - 223 - 46 Side 3 = 234 meters ### Answer: 234 meters
Expected answer: 234
Correct? Yes
Problem: An equilateral triangle has a perimeter of 105m. What is the length of each of its sides?
Claude-3 Haiku:
Okay, let's solve this step-by-step: 1) An equilateral triangle has all sides of equal length. 2) The perimeter of a shape is the total distance around the shape. 3) For an equilateral triangle, the perimeter is 3 times the length of one side. 4) So, if the perimeter is 105m, we can set up the equation: 3 * x = 105 Where x is the length of one side. 5) Solving for x, we get: x = 105/3 x = 35m ### Answer: 35m
Expected answer: 35
Correct? Yes
Problem: An equilateral triangle has a perimeter of 306cm. What is the length of each of its sides?
Claude-3 Haiku:
Okay, let's solve this step-by-step: 1) An equilateral triangle has all sides of equal length. 2) The perimeter of a shape is the total distance around the shape. 3) For an equilateral triangle, the perimeter is 3 times the length of one side. 4) So, if the perimeter is 306 cm, we can set up the equation: 3 x (length of one side) = 306 5) Solving for the length of one side: Length of one side = 306 / 3 = 102 cm ### Answer: 102 cm
Expected answer: 102
Correct? Yes
Problem: An equilateral triangle has a perimeter of 33 cm. What is the length of each of its sides?
Claude-3 Haiku:
Okay, let's solve this step-by-step: 1) An equilateral triangle has all sides of equal length. 2) The perimeter of a shape is the total distance around the shape. 3) For an equilateral triangle, the perimeter is 3 times the length of one side. 4) So, if the perimeter is 33 cm, we can set up the equation: 3 * x = 33 5) Solving for x, we get: x = 33/3 = 11 cm ### Answer: 11 cm
Expected answer: 11
Correct? Yes
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?
Claude-3 Haiku:
Okay, let's solve this step-by-step: * The perimeter of the triangle is 861m * Two of the sides are known to be 192m and 159m * To find the length of the third side, we can use the formula for the perimeter of a triangle: Perimeter = Side 1 + Side 2 + Side 3 * Plugging in the known values: 861 = 192 + 159 + Side 3 * Solving for Side 3: 861 = 351 + Side 3 Side 3 = 861 - 351 Side 3 = 510m ### Answer: 510m
Expected answer: 510
Correct? Yes
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?
Claude-3 Haiku:
Okay, let's solve this step-by-step: * The triangle has a perimeter of 489 centimeters * Each side of the triangle is of equal length * To find the length of one side, we need to divide the total perimeter by 3 (since there are 3 equal sides) Calculation: * Perimeter = 489 cm * Number of sides = 3 * Length of one side = Perimeter / 3 * Length of one side = 489 cm / 3 * Length of one side = 163 cm ### Answer: 163 cm
Expected answer: 163
Correct? Yes
Problem: An equilateral triangle has a perimeter of 696 meters. What is the length of each side of this triangle?
Claude-3 Haiku:
Okay, let's solve this step-by-step: 1) We are given that the triangle is equilateral, which means all three sides are equal in length. 2) The perimeter of the triangle is 696 meters. 3) To find the length of each side, we need to divide the perimeter by 3, since an equilateral triangle has 3 equal sides. 4) 696 meters / 3 = 232 meters. ### Answer: 232 meters.
Expected answer: 232
Correct? Yes
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?
Claude-3 Haiku:
Okay, let's solve this step-by-step: * The perimeter of the triangle is 804m * One side of the triangle is 180m long * Another side of the triangle is 579m long * To find the length of the third side, we can use the formula for the perimeter of a triangle: Perimeter = Side 1 + Side 2 + Side 3 804 = 180 + 579 + Side 3 Side 3 = 804 - 180 - 579 Side 3 = 45m ### Answer: 45m
Expected answer: 45
Correct? Yes
Problem: An equilateral triangle has a perimeter of 915cm. What is the length of each of its sides?
Claude-3 Haiku:
Okay, let's solve this step-by-step: 1) An equilateral triangle has all sides of equal length. 2) The perimeter of a shape is the total distance around the shape. 3) For an equilateral triangle, the perimeter is 3 times the length of one side. 4) So, if the perimeter is 915 cm, we can set up the equation: Perimeter = 3 * side length 915 = 3 * side length 5) Solving for the side length: Side length = 915 / 3 Side length = 305 cm ### Answer: 305 cm
Expected answer: 305
Correct? Yes
Problem: An equilateral triangle has a perimeter of 564 cm. What is the length of each of its sides?
Claude-3 Haiku:
Okay, let's solve this step-by-step: 1) An equilateral triangle has all sides of equal length. 2) The perimeter of a shape is the total distance around the shape. 3) For an equilateral triangle, the perimeter is 3 times the length of one side. 4) So, if the perimeter is 564 cm, we can set up the equation: 3 * x = 564 Where x is the length of one side. 5) Solving for x, we get: x = 564 / 3 x = 188 cm ### Answer: 188 cm
Expected answer: 188
Correct? Yes
Problem: An equilateral triangle has a perimeter of 594 cm. What is the length of each of its sides?
Claude-3 Haiku:
Okay, let's solve this step-by-step: 1) An equilateral triangle has all sides of equal length. 2) The perimeter of a shape is the total distance around the shape. 3) For an equilateral triangle, the perimeter is 3 times the length of one side. 4) So, if the perimeter is 594 cm, we can set up the equation: 3 * x = 594 Where x is the length of one side. 5) Solving for x, we get: x = 594 / 3 x = 198 cm ### Answer: 198 cm
Expected answer: 198
Correct? Yes
Problem: An equilateral triangle has a perimeter of 453 cm. How long is each side of the triangle?
Claude-3 Haiku:
Okay, let's solve this step-by-step: 1) An equilateral triangle has all sides of equal length. 2) The perimeter of a shape is the total distance around the shape. 3) For an equilateral triangle, the perimeter is 3 times the length of one side. 4) So, if the perimeter is 453 cm, we can set up the equation: 3 * x = 453 Where x is the length of one side of the triangle. 5) Solving for x, we get: x = 453 / 3 x = 151 cm ### Answer: 151 cm
Expected answer: 151
Correct? Yes
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?
Claude-3 Haiku:
Okay, let's solve this step-by-step: 1) We know the total perimeter of the triangle is 898m. 2) We also know the lengths of two of the sides are 250m and 435m. 3) To find the length of the third side, we can use the formula for the perimeter of a triangle: Perimeter = Side 1 + Side 2 + Side 3 4) Plugging in the values we know: 898 = 250 + 435 + Side 3 5) Solving for Side 3: 898 = 685 + Side 3 Side 3 = 898 - 685 Side 3 = 213m ### Answer: 213m
Expected answer: 213
Correct? Yes
Problem: An equilateral triangle has a total perimeter of 405 cm. Can you determine the length of each side?
Claude-3 Haiku:
To solve this problem, we need to find the length of each side of the equilateral triangle given the total perimeter. Given information: - The total perimeter of the equilateral triangle is 405 cm. Step 1: Understand the properties of an equilateral triangle. In an equilateral triangle, all three sides have the same length. Step 2: Set up an equation to find the length of each side. Let the length of each side be x. Total perimeter = 3 × x 405 = 3 × x Step 3: Solve for the length of each side. 405 = 3 × x x = 405 / 3 x = 135 cm Therefore, the length of each side of the equilateral triangle is 135 cm. ### Answer: 135 cm
Expected answer: 135
Correct? Yes
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?
Claude-3 Haiku:
Okay, let's solve this step-by-step: 1) We know that the shape is an equilateral triangle. 2) The total perimeter of the triangle is 612 meters. 3) In an equilateral triangle, all three sides are equal in length. 4) To find the length of each side, we can divide the total perimeter by 3. 5) 612 meters / 3 = 204 meters. ### Answer: The length of each side of the equilateral triangle is 204 meters.
Expected answer: 204
Correct? Yes
Problem: An equilateral triangle has a perimeter of 591 cm. Can you find the length of each side of this triangle?
Claude-3 Haiku:
Okay, let's solve this step-by-step: 1) An equilateral triangle has all sides of equal length. 2) The perimeter of a shape is the total distance around the shape. 3) For an equilateral triangle, the perimeter is 3 times the length of one side. 4) So, if the perimeter is 591 cm, we can set up the equation: 3 * x = 591 Where x is the length of one side of the equilateral triangle. 5) Solving for x, we get: x = 591 / 3 x = 197 cm ### Answer: 197 cm
Expected answer: 197
Correct? Yes
Problem: An equilateral triangle has a perimeter of 858m. What is the length of each of its sides?
Claude-3 Haiku:
Okay, let's solve this step-by-step: 1) An equilateral triangle has all sides of equal length. 2) The perimeter of a shape is the total distance around the shape. 3) For an equilateral triangle, the perimeter is 3 times the length of one side. 4) So, if the perimeter is 858m, we can set up the equation: 3 * x = 858 Where x is the length of one side. 5) Solving for x, we get: x = 858 / 3 x = 286m Therefore, the length of each side of the equilateral triangle is 286m. ### Answer: 286m
Expected answer: 286
Correct? Yes
Problem: An equilateral triangle has a perimeter of 543 meters. What is the length of each of its sides?
Claude-3 Haiku:
Okay, let's solve this step-by-step: 1) An equilateral triangle has all sides of equal length. 2) The perimeter of a shape is the total distance around the shape. 3) For an equilateral triangle, the perimeter is 3 times the length of one side. 4) So, if the perimeter is 543 meters, we can set up the equation: 3 * x = 543 Where x is the length of one side. 5) Solving for x, we get: x = 543 / 3 x = 181 meters ### Answer: 181 meters
Expected answer: 181
Correct? Yes
Problem: A triangle has three equal sides. If the perimeter of the triangle is 255 meters, what is the length of each side?
Claude-3 Haiku:
Okay, let's solve this step-by-step: 1) The triangle has three equal sides, which means it is an equilateral triangle. 2) The perimeter of a triangle is the sum of the lengths of its three sides. 3) Since the triangle has three equal sides, we can represent the length of each side as x. 4) The perimeter of the triangle is 255 meters, so we can write the equation: x + x + x = 255 5) Simplifying the equation: 3x = 255 6) Solving for x: x = 255 / 3 7) Therefore, the length of each side of the equilateral triangle is 85 meters. ### Answer: 85 meters
Expected answer: 85
Correct? Yes
Problem: An equilateral triangle has a perimeter of 570mm. Find the length of each side of this triangle.
Claude-3 Haiku:
Okay, let's solve this step-by-step: 1) An equilateral triangle has all sides of equal length. 2) The perimeter of a shape is the total distance around the shape. 3) For an equilateral triangle, the perimeter is 3 times the length of one side. 4) So, if the perimeter is 570mm, we can set up the equation: Perimeter = 3 x side length 570 = 3 x side length 5) Solving for the side length: Side length = 570 / 3 Side length = 190mm ### Answer: 190mm
Expected answer: 190
Correct? Yes
Problem: An equilateral triangle has a perimeter of 129m. What is the length of each of its sides?
Claude-3 Haiku:
Okay, let's solve this step-by-step: 1) An equilateral triangle has all sides of equal length. 2) The perimeter of a shape is the total distance around the shape. 3) For an equilateral triangle, the perimeter is 3 times the length of one side. 4) So, if the perimeter is 129m, we can set up the equation: 3 * x = 129 Where x is the length of one side. 5) Solving for x, we get: x = 129 / 3 x = 43m Therefore, the length of each side of the equilateral triangle is 43 meters. ### Answer: 43m
Expected answer: 43
Correct? Yes
Problem: An equilateral triangle has a perimeter of 858 meters. What is the length of each of its sides?
Claude-3 Haiku:
Okay, let's solve this step-by-step: 1) An equilateral triangle has all sides of equal length. 2) The perimeter of a shape is the total distance around the shape. 3) For an equilateral triangle, the perimeter is 3 times the length of one side. 4) So, if the perimeter is 858 meters, we can set up the equation: 3 * x = 858 Where x is the length of one side. 5) Solving for x, we get: x = 858 / 3 x = 286 meters Therefore, the length of each side of the equilateral triangle is 286 meters. ### Answer: 286 meters
Expected answer: 286
Correct? Yes
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?
Claude-3 Haiku:
Okay, let's solve this step-by-step: 1) We know that the triangle is equilateral, which means all three sides are of equal length. 2) The perimeter of the triangle is 513 km. 3) The perimeter of a triangle is the sum of the lengths of its three sides. 4) Since all three sides are equal, we can represent the length of each side as 'x'. 5) The perimeter equation is: x + x + x = 513 6) Simplifying, we get: 3x = 513 7) Solving for x, we get: x = 513/3 = 171 km. ### Answer: Each side of the equilateral triangle is 171 km.
Expected answer: 171
Correct? Yes
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?
Claude-3 Haiku:
Okay, let's solve this step-by-step: 1) We are given a triangular field with a perimeter of 828 meters. 2) Two sides of the field are 105 meters and 434 meters long. 3) To find the length of the third side, we can use the formula for the perimeter of a triangle: Perimeter = Side 1 + Side 2 + Side 3 4) Plugging in the values we know: 828 = 105 + 434 + Side 3 5) Solving for Side 3: 828 = 539 + Side 3 Side 3 = 828 - 539 Side 3 = 289 meters ### Answer: 289 meters
Expected answer: 289
Correct? Yes
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?
Claude-3 Haiku:
Okay, let's solve this step-by-step: 1) The perimeter of the triangle is 773 cm. 2) Two of the sides measure 37 cm and 559 cm. 3) To find the length of the third side, we can use the formula for the perimeter of a triangle: Perimeter = Side 1 + Side 2 + Side 3 773 = 37 + 559 + Side 3 Side 3 = 773 - 37 - 559 Side 3 = 177 cm ### Answer: 177 cm
Expected answer: 177
Correct? Yes
Problem: An equilateral triangle has a perimeter of 714m. What is the length of each of its sides?
Claude-3 Haiku:
Okay, let's solve this step-by-step: 1) An equilateral triangle has all sides of equal length. 2) The perimeter of a shape is the total distance around the shape. 3) For an equilateral triangle, the perimeter is 3 times the length of one side. 4) So, if the perimeter is 714m, we can set up the equation: 3 * x = 714 Where x is the length of one side. 5) Solving for x, we get: x = 714 / 3 x = 238m Therefore, the length of each side of the equilateral triangle is 238m. ### Answer: 238m
Expected answer: 238
Correct? Yes
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?
Claude-3 Haiku:
Okay, let's solve this step-by-step: 1) We are given that one side of the triangular garden is 147m and another side is 590m. 2) We are also given that the perimeter of the garden is 792m. 3) To find the length of the third side, we can use the formula for the perimeter of a triangle: Perimeter = Side 1 + Side 2 + Side 3 4) Plugging in the values we have: 792 = 147 + 590 + Side 3 5) Solving for Side 3: 792 - 147 - 590 = Side 3 Side 3 = 55m ### Answer: 55m
Expected answer: 55
Correct? Yes
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?
Claude-3 Haiku:
Okay, let's solve this step-by-step: 1) The perimeter of the triangle is 871 meters. 2) One side is 321 meters long. 3) Another side is 528 meters long. 4) To find the length of the third side, we can use the formula for the perimeter of a triangle: Perimeter = Side 1 + Side 2 + Side 3 871 = 321 + 528 + Side 3 871 = 849 + Side 3 Side 3 = 871 - 849 Side 3 = 22 meters ### Answer: 22 meters
Expected answer: 22
Correct? Yes
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.
Claude-3 Haiku:
Okay, let's solve this step-by-step: 1) We are given that the perimeter of the triangle is 991m. 2) Two sides of the triangle measure 424m and 246m respectively. 3) To find the length of the third side, we can use the formula for the perimeter of a triangle: Perimeter = Side 1 + Side 2 + Side 3 991 = 424 + 246 + Side 3 Side 3 = 991 - 424 - 246 Side 3 = 321m ### Answer: 321m
Expected answer: 321
Correct? Yes
Problem: An equilateral triangle has a perimeter of 936m. How long is each side of the triangle?
Claude-3 Haiku:
Okay, let's solve this step-by-step: 1) We know that the triangle is equilateral, which means all three sides are equal in length. 2) The perimeter of the triangle is the sum of the lengths of all three sides. 3) The perimeter is given as 936m. 4) Since all three sides are equal, we can divide the perimeter by 3 to find the length of each side. 5) 936m / 3 = 312m Therefore, the length of each side of the equilateral triangle is 312m. ### Answer: 312m
Expected answer: 312
Correct? Yes
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?
Claude-3 Haiku:
Okay, let's solve this step-by-step: 1) We know the perimeter of the triangle is 721m. 2) We also know that two of the sides have lengths of 204m and 195m. 3) To find the length of the third side, we can use the formula for the perimeter of a triangle: Perimeter = Side 1 + Side 2 + Side 3 721 = 204 + 195 + Side 3 721 = 399 + Side 3 Side 3 = 721 - 399 Side 3 = 322m ### Answer: 322m
Expected answer: 322
Correct? Yes
Problem: An equilateral triangle has a perimeter of 201m. What is the length of each of its sides?
Claude-3 Haiku:
Okay, let's solve this step-by-step: 1) An equilateral triangle has all sides of equal length. 2) The perimeter of a shape is the total distance around the shape. 3) For an equilateral triangle, the perimeter is 3 times the length of one side. 4) So, if the perimeter is 201m, we can set up the equation: 3 * x = 201 Where x is the length of one side. 5) Solving for x, we get: x = 201 / 3 x = 67m ### Answer: 67m
Expected answer: 67
Correct? Yes
Problem: A large equilateral triangle has a perimeter of 756m. Find the length of each of its sides.
Claude-3 Haiku:
Okay, let's solve this step-by-step: 1) We are given that the large equilateral triangle has a perimeter of 756m. 2) In an equilateral triangle, all three sides are equal in length. 3) To find the length of each side, we can divide the perimeter by 3. 4) 756m / 3 = 252m Therefore, the length of each side of the large equilateral triangle is 252m. ### Answer: 252m
Expected answer: 252
Correct? Yes
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?
Claude-3 Haiku:
Okay, let's solve this step-by-step: 1) The perimeter of the triangle is 923m. 2) Two of the sides are 735m and 144m long. 3) To find the length of the third side, we can use the formula for the perimeter of a triangle: Perimeter = Side 1 + Side 2 + Side 3 923 = 735 + 144 + Side 3 923 = 879 + Side 3 Side 3 = 923 - 879 Side 3 = 44m ### Answer: 44m
Expected answer: 44
Correct? Yes
Problem: An equilateral triangle has a perimeter of 813 cm. What is the length of each of its sides?
Claude-3 Haiku:
Okay, let's solve this step-by-step: 1) An equilateral triangle has all sides of equal length. 2) The perimeter of a shape is the total distance around the shape. 3) For an equilateral triangle, the perimeter is 3 times the length of one side. 4) So, if the perimeter is 813 cm, we can set up the equation: 3 * x = 813 Where x is the length of one side. 5) Solving for x, we get: x = 813 / 3 x = 271 cm ### Answer: 271 cm
Expected answer: 271
Correct? Yes
Problem: An equilateral triangle has a perimeter of 834 feet. What is the length of each of its sides?
Claude-3 Haiku:
Okay, let's solve this step-by-step: 1) An equilateral triangle has all sides of equal length. 2) The perimeter of a shape is the total distance around the shape. 3) For an equilateral triangle, the perimeter is 3 times the length of one side. 4) So, if the perimeter is 834 feet, we can set up the equation: 3 * x = 834 Where x is the length of one side. 5) Solving for x, we get: x = 834 / 3 x = 278 feet Therefore, the length of each side of the equilateral triangle is 278 feet. ### Answer: 278 feet
Expected answer: 278
Correct? Yes
Problem: A triangle has a perimeter of 105m and all its sides are equal in length. How long is one side of the triangle?
Claude-3 Haiku:
Okay, let's solve this step-by-step: * The triangle has a perimeter of 105m * All the sides of the triangle are equal in length * To find the length of one side, we need to divide the perimeter by 3 (since there are 3 equal sides) Calculation: * Perimeter = 105m * Number of sides = 3 * Length of one side = Perimeter / Number of sides * Length of one side = 105m / 3 * Length of one side = 35m ### Answer: 35m
Expected answer: 35
Correct? Yes
Problem: A triangle has a perimeter of 195cm. Given that all sides of the triangle are equal, what is the length of each side?
Claude-3 Haiku:
Okay, let's solve this step-by-step: 1) The triangle has a perimeter of 195cm. 2) All sides of the triangle are equal. 3) Let's call the length of each side 'x'. 4) Since all sides are equal, the perimeter is 3x. 5) We know the perimeter is 195cm, so we can set up the equation: 3x = 195 6) Solving for x, we get: x = 195/3 7) Therefore, the length of each side is 65cm. ### Answer: 65cm
Expected answer: 65
Correct? Yes
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?
Claude-3 Haiku:
Okay, let's solve this step-by-step: * The perimeter of the triangle is 919m * One side is 350m long * Another side is 154m long * To find the length of the third side, we can use the formula for the perimeter of a triangle: Perimeter = Side 1 + Side 2 + Side 3 919 = 350 + 154 + Side 3 Side 3 = 919 - 350 - 154 Side 3 = 415m ### Answer: 415m
Expected answer: 415
Correct? Yes
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?
Claude-3 Haiku:
Okay, let's solve this step-by-step: * The triangle has a perimeter of 989m * Two of the sides are 128m and 288m long * To find the length of the third side, we can use the formula for the perimeter of a triangle: Perimeter = Side 1 + Side 2 + Side 3 989m = 128m + 288m + Side 3 989m = 416m + Side 3 Side 3 = 989m - 416m Side 3 = 573m ### Answer: 573m
Expected answer: 573
Correct? Yes
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?
Claude-3 Haiku:
Okay, let's solve this step-by-step: 1) We are given that the equilateral triangle has a perimeter of 321 meters. 2) In an equilateral triangle, all sides are equal in length. 3) To find the length of each side, we need to divide the perimeter by 3, since there are 3 equal sides. 4) 321 meters / 3 = 107 meters. ### Answer: 107 meters.
Expected answer: 107
Correct? Yes
Problem: An equilateral triangle has a perimeter of 258 cm. What is the length of each of its sides?
Claude-3 Haiku:
Okay, let's solve this step-by-step: 1) An equilateral triangle has all sides of equal length. 2) The perimeter of a shape is the total distance around the shape. 3) For an equilateral triangle, the perimeter is 3 times the length of one side. 4) So, if the perimeter is 258 cm, we can set up the equation: 3 * x = 258 5) Solving for x, we get: x = 258 / 3 6) Therefore, the length of each side of the equilateral triangle is 86 cm. ### Answer: 86 cm
Expected answer: 86
Correct? Yes
Problem: An equilateral triangle has a perimeter of 75m. What is the length of each side of the triangle?
Claude-3 Haiku:
Okay, let's solve this step-by-step: 1) An equilateral triangle has all sides of equal length. 2) The perimeter of a shape is the total distance around the shape. 3) For an equilateral triangle, the perimeter is 3 times the length of one side. 4) So if the perimeter is 75m, we can set up the equation: 3 * x = 75 Where x is the length of one side of the triangle. 5) Solving for x, we get: x = 75/3 x = 25m ### Answer: 25m
Expected answer: 25
Correct? Yes
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?
Claude-3 Haiku:
Okay, let's solve this step-by-step: 1) The perimeter of the triangle is 979m. 2) Two of the sides are 620m and 80m. 3) To find the length of the third side, we can use the formula for the perimeter of a triangle: Perimeter = Side 1 + Side 2 + Side 3 979 = 620 + 80 + Side 3 Side 3 = 979 - 620 - 80 Side 3 = 279m ### Answer: 279m
Expected answer: 279
Correct? Yes
Problem: An equilateral triangle has a perimeter of 966 meters. What is the length of each side of this triangle?
Claude-3 Haiku:
Okay, let's solve this step-by-step: 1) An equilateral triangle has all sides of equal length. 2) The perimeter of a shape is the total distance around the shape. 3) For an equilateral triangle, the perimeter is 3 times the length of one side. 4) So, if the perimeter is 966 meters, we can set up the equation: 3 * x = 966 5) Solving for x, we get: x = 966 / 3 6) Therefore, the length of each side of the equilateral triangle is 322 meters. ### Answer: 322 meters
Expected answer: 322
Correct? Yes
Problem: An equilateral triangle has a perimeter of 486 cm. What is the length of each of its sides?
Claude-3 Haiku:
Okay, let's solve this step-by-step: 1) An equilateral triangle has all sides of equal length. 2) The perimeter of a shape is the total distance around the shape. 3) For an equilateral triangle, the perimeter is 3 times the length of one side. 4) So, if the perimeter is 486 cm, we can set up the equation: 3 * x = 486 Solving for x, we get: x = 486 / 3 x = 162 cm Therefore, the length of each side of the equilateral triangle is 162 cm. ### Answer: 162 cm
Expected answer: 162
Correct? Yes
Problem: An equilateral triangle has a perimeter of 948 meters. What is the length of each of its sides?
Claude-3 Haiku:
Okay, let's solve this step-by-step: 1) An equilateral triangle has all sides of equal length. 2) The perimeter of a shape is the total distance around the shape. 3) For an equilateral triangle, the perimeter is 3 times the length of one side. 4) So, if the perimeter is 948 meters, we can set up the equation: 3 * x = 948 Where x is the length of one side. 5) Solving for x, we get: x = 948 / 3 x = 316 meters ### Answer: 316 meters
Expected answer: 316
Correct? Yes
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?
Claude-3 Haiku:
Okay, let's solve this step-by-step: 1) We are given a scalene triangle, which means all three sides have different lengths. 2) The first side is 252m and the second side is 687m. 3) The total perimeter of the triangle is 998m. 4) To find the length of the third side, we can use the formula for perimeter: Perimeter = Side 1 + Side 2 + Side 3 998 = 252 + 687 + Side 3 Side 3 = 998 - 252 - 687 Side 3 = 59m ### Answer: 59m
Expected answer: 59
Correct? Yes
Problem: An equilateral triangle has a perimeter of 618m. What is the length of each of its sides?
Claude-3 Haiku:
Okay, let's solve this step-by-step: 1) An equilateral triangle has all sides of equal length. 2) The perimeter of a shape is the total distance around the shape. 3) For an equilateral triangle, the perimeter is 3 times the length of one side. 4) So, if the perimeter is 618m, we can set up the equation: 3 * x = 618 Where x is the length of one side. 5) Solving for x, we get: x = 618 / 3 x = 206m ### Answer: 206m
Expected answer: 206
Correct? Yes
Problem: An equilateral triangle has a perimeter of 483 meters. How long is each side?
Claude-3 Haiku:
Okay, let's solve this step-by-step: 1) An equilateral triangle has all sides of equal length. 2) The perimeter of a shape is the total distance around the shape. 3) For an equilateral triangle, the perimeter is 3 times the length of one side. 4) So, if the perimeter is 483 meters, we can set up the equation: 3 * x = 483 Where x is the length of one side. 5) Solving for x, we get: x = 483 / 3 x = 161 meters ### Answer: 161 meters
Expected answer: 161
Correct? Yes
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?
Claude-3 Haiku:
Okay, let's solve this step-by-step: * The triangle has a perimeter of 804m * One side is 262m long * Another side is 90m long * We need to find the length of the third side To find the length of the third side, we can use the formula for the perimeter of a triangle: Perimeter = Side 1 + Side 2 + Side 3 We know the perimeter is 804m, and we know the lengths of two of the sides (262m and 90m). So we can plug these values into the formula and solve for the third side: 804m = 262m + 90m + Side 3 Side 3 = 804m - 262m - 90m Side 3 = 452m ### Answer: 452m
Expected answer: 452
Correct? Yes
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?
Claude-3 Haiku:
Okay, let's solve this step-by-step: 1) We are given that the perimeter of the large triangle is 925m. 2) We are also given that two of the sides are 183m and 498m. 3) To find the length of the third side, we can use the formula for perimeter: Perimeter = Side 1 + Side 2 + Side 3 4) Plugging in the values we know: 925 = 183 + 498 + Side 3 5) Solving for Side 3: 925 = 681 + Side 3 Side 3 = 925 - 681 Side 3 = 244m ### Answer: 244m
Expected answer: 244
Correct? Yes
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?
Claude-3 Haiku:
Okay, let's solve this step-by-step: 1) We are given a scalene triangle, which means all three sides are of different lengths. 2) The total perimeter of the triangle is 573m. 3) One side measures 103m and another side measures 386m. 4) To find the length of the third side, we can use the formula for the perimeter of a triangle: Perimeter = Side 1 + Side 2 + Side 3 573 = 103 + 386 + Side 3 Side 3 = 573 - 103 - 386 Side 3 = 84m ### Answer: 84m
Expected answer: 84
Correct? Yes
Problem: An equilateral triangle has a perimeter of 330m. What is the length of each of its sides?
Claude-3 Haiku:
Okay, let's solve this step-by-step: 1) An equilateral triangle has all sides of equal length. 2) The perimeter of a shape is the total distance around the shape. 3) For an equilateral triangle, the perimeter is 3 times the length of one side. 4) So, if the perimeter is 330m, we can set up the equation: 3 * x = 330 Where x is the length of one side. 5) Solving for x, we get: x = 330 / 3 x = 110m Therefore, the length of each side of the equilateral triangle is 110m. ### Answer: 110m
Expected answer: 110
Correct? Yes
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?
Claude-3 Haiku:
Okay, let's solve this step-by-step: 1) We are given that the perimeter of the triangle is 850m. 2) Two of the sides have lengths of 57m and 426m. 3) To find the length of the third side, we can use the formula for the perimeter of a triangle: Perimeter = Side 1 + Side 2 + Side 3 850 = 57 + 426 + Side 3 850 = 483 + Side 3 Side 3 = 850 - 483 Side 3 = 367m ### Answer: 367m
Expected answer: 367
Correct? Yes
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?
Claude-3 Haiku:
Okay, let's solve this step-by-step: 1) We are given that the perimeter of the triangle is 764m. 2) Two of the sides are 265m and 56m. 3) To find the length of the third side, we can use the formula for perimeter: Perimeter = Side 1 + Side 2 + Side 3 764 = 265 + 56 + Side 3 Side 3 = 764 - 265 - 56 Side 3 = 443m ### Answer: 443m
Expected answer: 443
Correct? Yes
Problem: An equilateral triangle has a perimeter of 723cm. What is the length of each of its sides?
Claude-3 Haiku:
Okay, let's solve this step-by-step: 1) An equilateral triangle has all sides of equal length. 2) The perimeter of a shape is the total distance around the shape. 3) For an equilateral triangle, the perimeter is 3 times the length of one side. 4) So, if the perimeter is 723 cm, we can set up the equation: 3 x (length of one side) = 723 5) Solving for the length of one side: Length of one side = 723 / 3 Length of one side = 241 cm ### Answer: 241 cm
Expected answer: 241
Correct? Yes
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?
Claude-3 Haiku:
Okay, let's solve this step-by-step: 1) We know that the triangle has two sides with lengths of 315m and 100m. 2) The perimeter of the triangle is 738m. 3) To find the length of the third side, we can use the formula for perimeter: Perimeter = Side 1 + Side 2 + Side 3 738m = 315m + 100m + Side 3 Side 3 = 738m - 315m - 100m Side 3 = 323m ### Answer: 323m
Expected answer: 323
Correct? Yes
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?
Claude-3 Haiku:
Okay, let's solve this step-by-step: * The perimeter of the triangle is 762m * One side is 131m long * Another side is 147m long * We need to find the length of the third side To find the length of the third side, we can use the formula for the perimeter of a triangle: Perimeter = Side 1 + Side 2 + Side 3 Plugging in the known values: 762 = 131 + 147 + Side 3 Solving for Side 3: 762 = 278 + Side 3 Side 3 = 762 - 278 Side 3 = 484m ### Answer: 484m
Expected answer: 484
Correct? Yes
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?
Claude-3 Haiku:
Okay, let's break this down step-by-step: * The triangle has a perimeter of 784m * The sum of two of its sides is 472m To find the length of the third side, we can use the following equation: Perimeter = Sum of all three sides So, we have: 784m = 472m + Length of third side Rearranging this equation, we get: Length of third side = 784m - 472m Length of third side = 312m ### Answer: 312m
Expected answer: 312
Correct? Yes
Problem: An equilateral triangle has a perimeter of 543mm. What is the length of each of its sides?
Claude-3 Haiku:
Okay, let's solve this step-by-step: 1) An equilateral triangle has all sides of equal length. 2) The perimeter of a shape is the total distance around the shape. 3) For an equilateral triangle, the perimeter is 3 times the length of one side. 4) So, if the perimeter is 543mm, we can divide 543 by 3 to find the length of one side: 543 / 3 = 181mm ### Answer: 181mm
Expected answer: 181
Correct? Yes
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?
Claude-3 Haiku:
Okay, let's solve this step-by-step: * The triangle has a first side length of 287m * The triangle has a second side length of 475m * The perimeter of the triangle is 867m To find the length of the third side, we can use the formula for perimeter: Perimeter = Side 1 + Side 2 + Side 3 Plugging in the given values: 867m = 287m + 475m + Side 3 Solving for Side 3: 867m = 762m + Side 3 Side 3 = 867m - 762m Side 3 = 105m ### Answer: 105m
Expected answer: 105
Correct? Yes
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?
Claude-3 Haiku:
Okay, let's break this down step-by-step: 1) The perimeter of the triangle is 934m. 2) The lengths of two of the sides add up to 838m. One side is 828m and the other is 10m. 3) To find the length of the third side, we can use the formula for the perimeter of a triangle: Perimeter = Side 1 + Side 2 + Side 3 934 = 828 + 10 + Side 3 934 = 838 + Side 3 Side 3 = 934 - 838 Side 3 = 96m ### Answer: 96m
Expected answer: 96
Correct? Yes
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?
Claude-3 Haiku:
Okay, let's solve this step-by-step: 1) We are given that the perimeter of the triangle is 677m. 2) Two of the sides measure 109m and 530m respectively. 3) To find the length of the third side, we can use the formula for the perimeter of a triangle: Perimeter = Side 1 + Side 2 + Side 3 4) Plugging in the values we know: 677 = 109 + 530 + Side 3 5) Solving for Side 3: 677 = 639 + Side 3 Side 3 = 677 - 639 Side 3 = 38m ### Answer: 38m
Expected answer: 38
Correct? Yes
Problem: An equilateral triangle has a perimeter of 582 cm. What is the length of each of its sides?
Claude-3 Haiku:
Okay, let's solve this step-by-step: 1) An equilateral triangle has all sides of equal length. 2) The perimeter of a shape is the total distance around the shape. 3) For an equilateral triangle, the perimeter is 3 times the length of one side. 4) So, if the perimeter is 582 cm, we can set up the equation: 3 x (length of one side) = 582 5) Solving for the length of one side: Length of one side = 582 / 3 Length of one side = 194 cm ### Answer: 194 cm
Expected answer: 194
Correct? Yes
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?
Claude-3 Haiku:
Okay, let's break this down step-by-step: * The triangle has a perimeter of 499m * The largest side is 259m long * One of the other sides is 11m long To find the length of the last side, we can use the formula for the perimeter of a triangle: Perimeter = Length of side 1 + Length of side 2 + Length of side 3 We know the perimeter is 499m, and we know the lengths of two of the sides (259m and 11m). So we can plug these values into the formula and solve for the length of the last side: 499m = 259m + 11m + Length of last side 499m = 270m + Length of last side Length of last side = 499m - 270m Length of last side = 229m ### Answer: 229m
Expected answer: 229
Correct? Yes
Problem: An equilateral triangle has a perimeter of 966m. What is the length of each of its sides?
Claude-3 Haiku:
Okay, let's solve this step-by-step: 1) An equilateral triangle has all sides of equal length. 2) The perimeter of a shape is the total distance around the shape. 3) For an equilateral triangle, the perimeter is 3 times the length of one side. 4) So, if the perimeter is 966m, we can set up the equation: 3 * x = 966 Where x is the length of one side. 5) Solving for x, we get: x = 966 / 3 x = 322m Therefore, the length of each side of the equilateral triangle is 322 meters. ### Answer: 322 m
Expected answer: 322
Correct? Yes
Problem: An equilateral triangle has a perimeter of 894 inches. What is the length of each side of the triangle?
Claude-3 Haiku:
Okay, let's solve this step-by-step: 1) We know that the triangle is equilateral, which means all three sides are equal in length. 2) The perimeter of the triangle is the sum of the lengths of all three sides. 3) The perimeter is given as 894 inches. 4) Since all three sides are equal, we can divide the perimeter by 3 to find the length of each side. 5) 894 inches / 3 = 298 inches. ### Answer: 298 inches
Expected answer: 298
Correct? Yes
Problem: An equilateral triangle has a perimeter of 891cm. What is the length of each of its sides?
Claude-3 Haiku:
Okay, let's solve this step-by-step: 1) An equilateral triangle has all sides of equal length. 2) The perimeter of a shape is the total distance around the shape. 3) For an equilateral triangle, the perimeter is 3 times the length of one side. 4) So, if the perimeter is 891 cm, we can set up the equation: 3 x (length of one side) = 891 5) Solving for the length of one side: Length of one side = 891 / 3 Length of one side = 297 cm ### Answer: 297 cm
Expected answer: 297
Correct? Yes
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?
Claude-3 Haiku:
Okay, let's solve this step-by-step: * The perimeter of the triangle is 762 meters * Two sides of the triangle are 122 meters and 245 meters * To find the length of the third side, we can use the formula for the perimeter of a triangle: Perimeter = Side 1 + Side 2 + Side 3 762 = 122 + 245 + Side 3 Side 3 = 762 - 122 - 245 Side 3 = 395 meters ### Answer: 395 meters
Expected answer: 395
Correct? Yes
Problem: An equilateral triangle has a perimeter of 411m. What is the length of each side of the triangle?
Claude-3 Haiku:
Okay, let's solve this step-by-step: 1) An equilateral triangle has all sides of equal length. 2) The perimeter of a shape is the total distance around the shape. 3) For an equilateral triangle, the perimeter is 3 times the length of one side. 4) So, if the perimeter is 411m, we can set up the equation: 3 * x = 411 Where x is the length of one side of the triangle. 5) Solving for x, we get: x = 411 / 3 x = 137m ### Answer: 137m
Expected answer: 137
Correct? Yes
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?
Claude-3 Haiku:
Okay, let's solve this step-by-step: 1) The triangle has three identical sides, which means it is an equilateral triangle. 2) The total length of the sides is 72m. 3) To find the length of each side, we need to divide the total length by 3, since there are three identical sides. 4) 72m / 3 = 24m ### Answer: 24m
Expected answer: 24
Correct? Yes
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?
Claude-3 Haiku:
Okay, let's solve this step-by-step: 1) We are given that the perimeter of the large triangle is 930 meters. 2) We are also given that two of the sides measure 537 meters and 68 meters. 3) To find the length of the third side, we can use the formula for perimeter: Perimeter = Side 1 + Side 2 + Side 3 4) Plugging in the values we know: 930 = 537 + 68 + Side 3 5) Solving for Side 3: 930 = 605 + Side 3 Side 3 = 930 - 605 Side 3 = 325 meters ### Answer: 325 meters
Expected answer: 325
Correct? Yes
Problem: An equilateral triangle has a perimeter of 657 meters. What is the length of each of its sides?
Claude-3 Haiku:
Okay, let's solve this step-by-step: 1) An equilateral triangle has all sides of equal length. 2) The perimeter of a shape is the total distance around the shape. 3) For an equilateral triangle, the perimeter is 3 times the length of one side. 4) So, if the perimeter is 657 meters, we can set up the equation: 3 * x = 657 Where x is the length of one side. 5) Solving for x, we get: x = 657 / 3 x = 219 meters 6) Therefore, the length of each side of the equilateral triangle is 219 meters. ### Answer: 219 meters
Expected answer: 219
Correct? Yes
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?
Claude-3 Haiku:
Okay, let's solve this step-by-step: 1) We are given a scalene triangle, which means all three sides have different lengths. 2) We are given the lengths of two sides: 368m and 230m. 3) We are also given the perimeter of the triangle, which is 909m. 4) To find the length of the third side, we can use the formula for the perimeter of a triangle: Perimeter = Side 1 + Side 2 + Side 3 909m = 368m + 230m + Side 3 5) Solving for Side 3: Side 3 = 909m - 368m - 230m Side 3 = 311m ### Answer: 311m
Expected answer: 311
Correct? Yes
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?
Claude-3 Haiku:
Okay, let's solve this step-by-step: 1) We know the perimeter of the triangle is 700 m. 2) Two of the sides are 140 m and 525 m. 3) To find the length of the third side, we can use the formula for perimeter: Perimeter = Side 1 + Side 2 + Side 3 700 = 140 + 525 + Side 3 Side 3 = 700 - 140 - 525 Side 3 = 35 m ### Answer: 35 m
Expected answer: 35
Correct? Yes
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?
Claude-3 Haiku:
Okay, let's solve this step-by-step: 1) We know the perimeter of the triangle is 915cm. 2) Two of the sides are 484cm and 130cm. 3) To find the length of the third side, we can use the formula for the perimeter of a triangle: Perimeter = Side 1 + Side 2 + Side 3 915 = 484 + 130 + Side 3 Side 3 = 915 - 484 - 130 Side 3 = 301cm ### Answer: 301cm
Expected answer: 301
Correct? Yes
Problem: An equilateral triangle has a perimeter of 120 cm. How long is each side of the triangle?
Claude-3 Haiku:
Okay, let's solve this step-by-step: 1) An equilateral triangle has all sides of equal length. 2) The perimeter of a shape is the total distance around the shape. 3) The perimeter of an equilateral triangle is the sum of the lengths of its three sides. 4) Since all sides are equal, we can represent the length of each side as x. 5) The perimeter of the equilateral triangle is given as 120 cm. 6) So we can write the equation: 3x = 120 7) Solving for x, we get: x = 120/3 = 40 cm. ### Answer: 40 cm.
Expected answer: 40
Correct? Yes
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?
Claude-3 Haiku:
Okay, let's solve this step-by-step: 1) We are given a triangular field with a perimeter of 661m. 2) Two sides of the field are known to be 382m and 151m. 3) To find the length of the third side, we can use the formula for the perimeter of a triangle: Perimeter = Side 1 + Side 2 + Side 3 661 = 382 + 151 + Side 3 Side 3 = 661 - 382 - 151 Side 3 = 128m ### Answer: 128m
Expected answer: 128
Correct? Yes
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?
Claude-3 Haiku:
Okay, let's solve this step-by-step: 1) We know the total perimeter of the triangle is 678 feet. 2) Two of the sides measure 419 feet and 164 feet. 3) To find the length of the third side, we can use the formula for the perimeter of a triangle: Perimeter = Side 1 + Side 2 + Side 3 678 = 419 + 164 + Side 3 Side 3 = 678 - 419 - 164 Side 3 = 95 feet ### Answer: 95 feet
Expected answer: 95
Correct? Yes
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?
Claude-3 Haiku:
Okay, let's solve this step-by-step: * The perimeter of the triangle is 248m * Two of the sides are 186m and 37m long * We need to find the length of the remaining side To find the length of the remaining side, we can use the formula for the perimeter of a triangle: Perimeter = Side 1 + Side 2 + Side 3 Plugging in the values we have: 248m = 186m + 37m + Side 3 Solving for Side 3: 248m = 223m + Side 3 Side 3 = 248m - 223m Side 3 = 25m ### Answer: 25m
Expected answer: 25
Correct? Yes
Problem: An equilateral triangle has a perimeter of 246 centimeters. What is the length of each of its sides?
Claude-3 Haiku:
Okay, let's solve this step-by-step: 1) We are given that the equilateral triangle has a perimeter of 246 centimeters. 2) In an equilateral triangle, all three sides are equal in length. 3) To find the length of each side, we divide the perimeter by 3. 4) 246 cm / 3 = 82 cm Therefore, the length of each side of the equilateral triangle is 82 centimeters. ### Answer: 82 cm
Expected answer: 82
Correct? Yes
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.
Claude-3 Haiku:
Okay, let's solve this step-by-step: 1) We are given the total perimeter of the triangular field, which is 739 meters. 2) We are also given the lengths of two of the sides, which are 180 meters and 338 meters. 3) To find the length of the third side, we can use the formula for the perimeter of a triangle: Perimeter = Side 1 + Side 2 + Side 3 4) Plugging in the values we know: 739 = 180 + 338 + Side 3 5) Solving for Side 3: 739 = 518 + Side 3 Side 3 = 739 - 518 Side 3 = 221 meters ### Answer: 221 meters
Expected answer: 221
Correct? Yes
Problem: An equilateral triangle has a perimeter of 684cm. What is the length of each of its sides?
Claude-3 Haiku:
Okay, let's solve this step-by-step: 1) An equilateral triangle has all sides of equal length. 2) The perimeter of a shape is the total distance around the shape. 3) For an equilateral triangle, the perimeter is 3 times the length of one side. 4) So, if the perimeter is 684 cm, we can set up the equation: 3 x (length of one side) = 684 5) Solving for the length of one side: Length of one side = 684 / 3 Length of one side = 228 cm ### Answer: 228 cm
Expected answer: 228
Correct? Yes
Problem: An equilateral triangle has a perimeter of 537m. What is the length of each of its sides?
Claude-3 Haiku:
Okay, let's solve this step-by-step: 1) An equilateral triangle has all sides of equal length. 2) The perimeter of a shape is the total distance around the shape. 3) For an equilateral triangle, the perimeter is 3 times the length of one side. 4) So, if the perimeter is 537m, we can set up the equation: 3 * x = 537 Where x is the length of one side. 5) Solving for x, we get: x = 537 / 3 x = 179m ### Answer: 179m
Expected answer: 179
Correct? Yes
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?
Claude-3 Haiku:
Okay, let's solve this step-by-step: 1) We are given that the perimeter of the triangle is 568m. 2) The lengths of two of the sides are 110m and 205m. 3) To find the length of the third side, we can use the formula for the perimeter of a triangle: Perimeter = Side 1 + Side 2 + Side 3 568 = 110 + 205 + Side 3 Side 3 = 568 - 110 - 205 Side 3 = 253m ### Answer: 253m
Expected answer: 253
Correct? Yes
Problem: An equilateral triangle has a perimeter of 942mm. What is the length of each of its sides?
Claude-3 Haiku:
Okay, let's solve this step-by-step: 1) An equilateral triangle has all sides of equal length. 2) The perimeter of a shape is the total distance around the shape. 3) For an equilateral triangle, the perimeter is 3 times the length of one side. 4) So, if the perimeter is 942mm, we can divide that by 3 to get the length of one side: 942mm / 3 = 314mm ### Answer: 314mm
Expected answer: 314
Correct? Yes
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?
Claude-3 Haiku:
Okay, let's break this down step-by-step: * The 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. To find the length of the third side, we can use the formula for the perimeter of a triangle: Perimeter = Side 1 + Side 2 + Side 3 We know that: * Side 1 = 325 meters * Side 2 = 15 meters * Perimeter = 633 meters So we can plug these values into the formula: 633 = 325 + 15 + Side 3 Side 3 = 633 - 325 - 15 Side 3 = 293 meters ### Answer: 293 meters
Expected answer: 293
Correct? Yes
Problem: An equilateral triangle has a perimeter of 504 meters. What is the length of each side of the triangle?
Claude-3 Haiku:
Okay, let's solve this step-by-step: 1) An equilateral triangle has all sides of equal length. 2) The perimeter of a shape is the total distance around the shape. 3) The perimeter of an equilateral triangle is 3 times the length of one side. 4) So, if the perimeter is 504 meters, we can set up the equation: 3 * x = 504 where x is the length of one side of the triangle. 5) Solving for x, we get: x = 504 / 3 x = 168 meters ### Answer: 168 meters
Expected answer: 168
Correct? Yes
Problem: An equilateral triangle has a perimeter of 51 cm. What is the length of each of its sides?
Claude-3 Haiku:
Okay, let's solve this step-by-step: 1) An equilateral triangle has all sides of equal length. 2) The perimeter of a shape is the total distance around the shape. 3) For an equilateral triangle, the perimeter is 3 times the length of one side. 4) So if the perimeter is 51 cm, we can set up the equation: 3 * x = 51 Where x is the length of one side. 5) Solving for x, we get: x = 51 / 3 x = 17 cm ### Answer: 17 cm
Expected answer: 17
Correct? Yes
Problem: An equilateral triangle has a perimeter of 501 feet. What is the length of each side of the triangle?
Claude-3 Haiku:
Okay, let's solve this step-by-step: 1) An equilateral triangle has all sides of equal length. 2) The perimeter of a shape is the total distance around the shape. 3) For an equilateral triangle, the perimeter is 3 times the length of one side. 4) So, if the perimeter is 501 feet, we can set up the equation: 3 * x = 501 Where x is the length of one side of the triangle. 5) Solving for x, we get: x = 501 / 3 x = 167 feet ### Answer: 167 feet
Expected answer: 167
Correct? Yes
Problem: The perimeter of an equilateral triangle is 411 meters. What is the length of each side of the triangle?
Claude-3 Haiku:
Okay, let's solve this step-by-step: 1) The perimeter of an equilateral triangle is the sum of the lengths of its three equal sides. 2) The formula for the perimeter of an equilateral triangle is: P = 3s, where P is the perimeter and s is the length of each side. 3) We are given that the perimeter is 411 meters. 4) Plugging this into the formula, we get: 411 = 3s 5) Solving for s, we get: s = 411/3 = 137 meters. ### Answer: 137 meters.
Expected answer: 137
Correct? Yes
Problem: An equilateral triangle has a perimeter of 114cm. What is the length of each of its sides?
Claude-3 Haiku:
Okay, let's solve this step-by-step: 1) An equilateral triangle has all sides of equal length. 2) The perimeter of a shape is the total distance around the shape. 3) The perimeter of an equilateral triangle is the sum of the lengths of its three sides. 4) So if the perimeter is 114 cm, and all sides are equal, we can divide the perimeter by 3 to find the length of each side. 5) 114 cm / 3 = 38 cm Therefore, the length of each side of the equilateral triangle is 38 cm. ### Answer: 38 cm
Expected answer: 38
Correct? Yes
Problem: An equilateral triangle has a perimeter of 69m. What is the length of each of its sides?
Claude-3 Haiku:
Okay, let's solve this step-by-step: 1) An equilateral triangle has all sides of equal length. 2) The perimeter of a shape is the total distance around the shape. 3) For an equilateral triangle, the perimeter is 3 times the length of one side. 4) So if the perimeter is 69m, we can set up the equation: 3 * x = 69 Where x is the length of one side. 5) Solving for x, we get: x = 69/3 x = 23m ### Answer: 23m
Expected answer: 23
Correct? Yes
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?
Claude-3 Haiku:
Okay, let's solve this step-by-step: 1) We are given a triangle with two sides of lengths 464m and 377m. 2) The total perimeter of the triangle is 907m. 3) To find the length of the third side, we can use the formula for the perimeter of a triangle: Perimeter = Side 1 + Side 2 + Side 3 4) Plugging in the values we have: 907 = 464 + 377 + Side 3 5) Solving for Side 3: 907 = 841 + Side 3 Side 3 = 907 - 841 Side 3 = 66m ### Answer: 66m
Expected answer: 66
Correct? Yes
Problem: An equilateral triangle has a perimeter of 966m. What is the length of each of its sides?
Claude-3 Haiku:
Okay, let's solve this step-by-step: 1) An equilateral triangle has all sides of equal length. 2) The perimeter of a shape is the total distance around the shape. 3) For an equilateral triangle, the perimeter is 3 times the length of one side. 4) So, if the perimeter is 966m, we can set up the equation: 3 * x = 966 Where x is the length of one side. 5) Solving for x, we get: x = 966 / 3 x = 322m Therefore, the length of each side of the equilateral triangle is 322 meters. ### Answer: 322 m
Expected answer: 322
Correct? Yes