LLemma 34B on 3.MD.D.8-triangle
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?
LLemma 34B:
Reasoning: The perimeter of an equilateral triangle is 3 times the length of one of its sides. The length of each of its sides is 990/3 = <<990/3=330>>330cm. ### Answer: 330
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?
LLemma 34B:
Reasoning: The perimeter of a triangle is the sum of the lengths of its sides. The length of the third side is 997-2-667 = <<997-2-667=938>>938m. ### Answer: 938
Expected answer: 328
Correct? No
Problem: An equilateral triangle has a perimeter of 579 cm. What is the length of each of its sides?
LLemma 34B:
Reasoning: The perimeter of an equilateral triangle is 3 times the length of one of its sides. The length of each of its sides is 579/3 = <<579/3=193>>193 cm. ### Answer: 193
Expected answer: 193
Correct? Yes
Problem: An equilateral triangle has a perimeter of 684m. What is the length of each of its sides?
LLemma 34B:
Reasoning: The perimeter of an equilateral triangle is 3 times the length of one of its sides. The length of each of its sides is 684/3 = <<684/3=228>>228m. ### Answer: 228
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?
LLemma 34B:
Reasoning: The perimeter of a triangle is the sum of the lengths of its sides. The length of the remaining side is 503-223-46 = <<503-223-46=234>>234 meters. ### Answer: 234
Expected answer: 234
Correct? Yes
Problem: An equilateral triangle has a perimeter of 105m. What is the length of each of its sides?
LLemma 34B:
Reasoning: The perimeter of an equilateral triangle is 3 times the length of one of its sides. The length of each of its sides is 105/3 = <<105/3=35>>35m. ### Answer: 35
Expected answer: 35
Correct? Yes
Problem: An equilateral triangle has a perimeter of 306cm. What is the length of each of its sides?
LLemma 34B:
Reasoning: The perimeter of an equilateral triangle is 3 times the length of one of its sides. The length of each of its sides is 306/3 = <<306/3=102>>102cm. ### Answer: 102
Expected answer: 102
Correct? Yes
Problem: An equilateral triangle has a perimeter of 33 cm. What is the length of each of its sides?
LLemma 34B:
Reasoning: The perimeter of an equilateral triangle is 3 times the length of one of its sides. The length of each of its sides is 33/3 = <<33/3=11>>11 cm. ### Answer: 11
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?
LLemma 34B:
Reasoning: The perimeter of a triangle is the sum of the lengths of its sides. The third side is 861-192-159 = <<861-192-159=410>>410m long. ### Answer: 410
Expected answer: 510
Correct? No
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?
LLemma 34B:
Reasoning: The perimeter of a triangle is the sum of the lengths of its sides. The perimeter of the triangle is 489 centimeters. The length of each side is 489/3 = <<489/3=163>>163 centimeters. ### Answer: 163
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?
LLemma 34B:
Reasoning: The perimeter of an equilateral triangle is 3 times the length of each side. 696/3 = <<696/3=232>>232 meters is the length of each side of this triangle. ### Answer: 232
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?
LLemma 34B:
Reasoning: The perimeter of a triangle is the sum of the lengths of its sides. The length of the third side is 804-180-579 = <<804-180-579=145>>145m. ### Answer: 145
Expected answer: 45
Correct? No
Problem: An equilateral triangle has a perimeter of 915cm. What is the length of each of its sides?
LLemma 34B:
Reasoning: The perimeter of an equilateral triangle is 3 times the length of one of its sides. The length of each of its sides is 915/3 = <<915/3=305>>305cm. ### Answer: 305cm
Expected answer: 305
Correct? Yes
Problem: An equilateral triangle has a perimeter of 564 cm. What is the length of each of its sides?
LLemma 34B:
Reasoning: The perimeter of an equilateral triangle is 3 times the length of one of its sides. The length of each of its sides is 564/3 = <<564/3=188>>188 cm. ### Answer: 188
Expected answer: 188
Correct? Yes
Problem: An equilateral triangle has a perimeter of 594 cm. What is the length of each of its sides?
LLemma 34B:
Reasoning: The perimeter of an equilateral triangle is 3 times the length of one of its sides. The length of each of its sides is 594/3 = <<594/3=198>>198 cm. ### Answer: 198
Expected answer: 198
Correct? Yes
Problem: An equilateral triangle has a perimeter of 453 cm. How long is each side of the triangle?
LLemma 34B:
Reasoning: The perimeter of an equilateral triangle is 3 times the length of one side. 453/3 = <<453/3=151>>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?
LLemma 34B:
Reasoning: The perimeter of a triangle is the sum of the lengths of its sides. The length of the third side of the triangle is 898-250-435 = <<898-250-435=113>>113m. ### Answer: 113
Expected answer: 213
Correct? No
Problem: An equilateral triangle has a total perimeter of 405 cm. Can you determine the length of each side?
LLemma 34B:
Reasoning: The perimeter of an equilateral triangle is 3 times the length of one side. 405/3 = <<405/3=135>>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?
LLemma 34B:
Reasoning: The perimeter of an equilateral triangle is 3 times the length of one side. 612/3 = <<612/3=204>>204 meters is the length of each side of this triangle. ### Answer: 204
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?
LLemma 34B:
Reasoning: The perimeter of a triangle is the sum of the lengths of its sides. The perimeter of an equilateral triangle is 3 times the length of one of its sides. The length of each side of the triangle is 591/3 = <<591/3=197>>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?
LLemma 34B:
Reasoning: The perimeter of an equilateral triangle is 3 times the length of each of its sides. The length of each of its sides is 858/3 = <<858/3=286>>286m. ### Answer: 286
Expected answer: 286
Correct? Yes
Problem: An equilateral triangle has a perimeter of 543 meters. What is the length of each of its sides?
LLemma 34B:
Reasoning: The perimeter of an equilateral triangle is 3 times the length of one of its sides. The length of each of its sides is 543/3 = <<543/3=181>>181 meters. ### Answer: 181
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?
LLemma 34B:
Reasoning: The perimeter of the triangle is 255/3 = <<255/3=85>>85 meters. ### Answer: 85
Expected answer: 85
Correct? Yes
Problem: An equilateral triangle has a perimeter of 570mm. Find the length of each side of this triangle.
LLemma 34B:
Reasoning: The perimeter of a triangle is the sum of the lengths of its sides. The perimeter of an equilateral triangle is 3 times the length of one of its sides. The length of each side of this triangle is 570/3 = <<570/3=190>>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?
LLemma 34B:
Reasoning: The perimeter of an equilateral triangle is 3 times the length of each of its sides. The length of each of its sides is 129/3 = <<129/3=43>>43m. ### Answer: 43
Expected answer: 43
Correct? Yes
Problem: An equilateral triangle has a perimeter of 858 meters. What is the length of each of its sides?
LLemma 34B:
Reasoning: The perimeter of an equilateral triangle is 3 times the length of each of its sides. The length of each of its sides is 858/3 = <<858/3=286>>286 meters. ### Answer: 286
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?
LLemma 34B:
Reasoning: The perimeter of a triangle is the sum of the lengths of its sides. The perimeter of this triangle is 513 km. The length of each side is 513/3 = <<513/3=171>>171 km. ### Answer: 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?
LLemma 34B:
Reasoning: The perimeter of the field is 105+434+x = 828. 105+434+x = 828 x = 828-105-434 x = <<828-105-434=390>>390 The third side of the field is 390 meters long. ### Answer: 390
Expected answer: 289
Correct? No
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?
LLemma 34B:
Reasoning: The perimeter of a triangle is the sum of the lengths of its sides. The length of the third side is 773-37-559 = <<773-37-559=189>>189 cm. ### Answer: 189
Expected answer: 177
Correct? No
Problem: An equilateral triangle has a perimeter of 714m. What is the length of each of its sides?
LLemma 34B:
Reasoning: The perimeter of an equilateral triangle is 3 times the length of one of its sides. The length of each of its sides is 714/3 = <<714/3=238>>238m. ### Answer: 238
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?
LLemma 34B:
Reasoning: The perimeter of the garden is 147+590+x = 792. 147+590+x = 792 x = 792-147-590 = <<792-147-590=95>>95 The length of the third side is 95m. ### Answer: 95
Expected answer: 55
Correct? No
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?
LLemma 34B:
Reasoning: The perimeter of a triangle is the sum of the lengths of its sides. The length of the third side is 871-321-528 = <<871-321-528=122>>122 meters. ### Answer: 122
Expected answer: 22
Correct? No
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.
LLemma 34B:
Reasoning: The perimeter of the triangle is 991m. The perimeter of the triangle is the sum of the lengths of the three sides. The length of the third side of the triangle is 991-424-246 = <<991-424-246=221>>221m. ### Answer: 221
Expected answer: 321
Correct? No
Problem: An equilateral triangle has a perimeter of 936m. How long is each side of the triangle?
LLemma 34B:
Reasoning: The perimeter of an equilateral triangle is 3 times the length of one side. 936/3 = <<936/3=312>>312 ### Answer: 312
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?
LLemma 34B:
Reasoning: The perimeter of a triangle is the sum of the lengths of its sides. The length of the third side of the triangle is 721-204-195 = <<721-204-195=322>>322m. ### Answer: 322
Expected answer: 322
Correct? Yes
Problem: An equilateral triangle has a perimeter of 201m. What is the length of each of its sides?
LLemma 34B:
Reasoning: The perimeter of an equilateral triangle is 3 times the length of each of its sides. The length of each of its sides is 201/3 = <<201/3=67>>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.
LLemma 34B:
Reasoning: The perimeter of a triangle is the sum of the lengths of its sides. The perimeter of a large equilateral triangle is 756m. The length of each of its sides is 756/3 = <<756/3=252>>252m. ### Answer: 252
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?
LLemma 34B:
Reasoning: The perimeter of a triangle is the sum of the lengths of its sides. The length of the third side is 923-735-144 = <<923-735-144=104>>104m. ### Answer: 104
Expected answer: 44
Correct? No
Problem: An equilateral triangle has a perimeter of 813 cm. What is the length of each of its sides?
LLemma 34B:
Reasoning: The perimeter of an equilateral triangle is 3 times the length of one of its sides. The length of each of its sides is 813/3 = <<813/3=271>>271 cm. ### Answer: 271
Expected answer: 271
Correct? Yes
Problem: An equilateral triangle has a perimeter of 834 feet. What is the length of each of its sides?
LLemma 34B:
Reasoning: The perimeter of an equilateral triangle is 3 times the length of one of its sides. The length of each of its sides is 834/3 = <<834/3=278>>278 feet. ### Answer: 278
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?
LLemma 34B:
Reasoning: The perimeter of a triangle is the sum of the lengths of its sides. The perimeter of the triangle is 105m. The length of one side of the triangle is 105/3 = <<105/3=35>>35m. ### Answer: 35
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?
LLemma 34B:
Reasoning: The perimeter of a triangle is the sum of the lengths of its sides. The perimeter of the triangle is 195cm. The length of each side is 195/3 = <<195/3=65>>65cm. ### Answer: 65
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?
LLemma 34B:
Reasoning: The perimeter of a triangle is the sum of the lengths of its sides. The length of the third side is 919-350-154 = <<919-350-154=425>>425m. ### Answer: 425
Expected answer: 415
Correct? No
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?
LLemma 34B:
Reasoning: The perimeter of a triangle is the sum of the lengths of its sides. The length of the third side is 989-128-288 = <<989-128-288=573>>573m. ### Answer: 573
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?
LLemma 34B:
Reasoning: The perimeter of an equilateral triangle is 3*side. 3*side = 321 <<3*side=321>>3*side = 321 <<3*side=321>>3*side = 321 <<3*side=321>>3*side = 321 <<3*side=321>>3*side = 321 <<3*side=321>>3*side = 321 <<3*side=321>>3*side = 321 <<3*side=321>>3*side = 321 <<3*side=321>>3*side = 321 <<3*side=321>>3*side = 321 <<3*side=321>>3*side = 321 <<3*side=321>>3*side = 321 <<3*side=321>>3*side = 321 <<3*side=321>>3*side = 321 <<3*side=321>>3*side = 321 <<3*side=321>>3*side = 321 <<3*side=321>>3*side = 321 <<3*side=321>>3*side = 321 <<3*side=321>>3*side = 321 <<3*side=321>>3*side = 321 <<3*side=321>>3*side = 321 <<3*side=321>>3*side = 321 <<3*side=321>>3*side = 321 <<3*side=321>>3*side = 321 <<3*side=321>>3*side = 321 <<3*side=321>>3*side = 321 <<3*side=321>>3*side = 321 <<3*side=321>>3*side = 321 <<3*side=321>>3*side = 321 <<3*side=321>>3*side = 321 <<3*side=321>>3*side = 321 <<3*side=321>>3*side = 321 <<3*side=321>>3*side = 321 <<3*side=321>>3*side = 321 <<3*side=321>>3*side = 321 <<3*side=321>>3*side = 321 <<3*side=321>>3*side = 321 <<3*side=321>>3*side = 321 <<3*side=321>>3*side = 321 <<3*side=321>>3*side = 321 <<3*side=321>>3*side = 321 <<3*side=321>>3*side = 321 <<3*side=321>>3*side = 321 <<3*side=321>>3*side = 321 <<3*side=321>>3*side = 321 <<3*side=321>>3*side = 321 <<3*side=321>>3*side = 321 <<3*side=321>>3*side = 321 <<3*side=321>>3*side = 321 <<3*side=321>>3*side = 321 <<3*side=321>>3*side = 321 <<3*side=321>>3*side = 321 <<3*side=321>>3*side = 321 <<3*side=321>>3*side = 321 <<3*side=321>>3*side = 32
Expected answer: 107
Correct? No
Problem: An equilateral triangle has a perimeter of 258 cm. What is the length of each of its sides?
LLemma 34B:
Reasoning: The perimeter of an equilateral triangle is 3 times the length of one of its sides. The length of each of its sides is 258/3 = <<258/3=86>>86 cm. ### Answer: 86
Expected answer: 86
Correct? Yes
Problem: An equilateral triangle has a perimeter of 75m. What is the length of each side of the triangle?
LLemma 34B:
Reasoning: The perimeter of an equilateral triangle is 3 times the length of each side. The length of each side of the triangle is 75/3 = <<75/3=25>>25m. ### Answer: 25
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?
LLemma 34B:
Reasoning: The perimeter of a triangle is the sum of the lengths of its sides. The length of the third side is 979-620-80 = <<979-620-80=359>>359m. ### Answer: 359
Expected answer: 279
Correct? No
Problem: An equilateral triangle has a perimeter of 966 meters. What is the length of each side of this triangle?
LLemma 34B:
Reasoning: The perimeter of an equilateral triangle is 3 times the length of each side. 966/3 = <<966/3=322>>322 meters is the length of each side of this triangle. ### Answer: 322
Expected answer: 322
Correct? Yes
Problem: An equilateral triangle has a perimeter of 486 cm. What is the length of each of its sides?
LLemma 34B:
Reasoning: The perimeter of an equilateral triangle is 3 times the length of each of its sides. The length of each of its sides is 486/3 = <<486/3=162>>162 cm. ### Answer: 162
Expected answer: 162
Correct? Yes
Problem: An equilateral triangle has a perimeter of 948 meters. What is the length of each of its sides?
LLemma 34B:
Reasoning: The perimeter of an equilateral triangle is 3 times the length of one of its sides. The length of each of its sides is 948/3 = <<948/3=316>>316 meters. ### Answer: 316
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?
LLemma 34B:
Reasoning: The third side is 998-252-687 = <<998-252-687=36>>36m. ### Answer: 36
Expected answer: 59
Correct? No
Problem: An equilateral triangle has a perimeter of 618m. What is the length of each of its sides?
LLemma 34B:
Reasoning: The perimeter of an equilateral triangle is 3 times the length of each of its sides. The length of each of its sides is 618/3 = <<618/3=206>>206m. ### Answer: 206
Expected answer: 206
Correct? Yes
Problem: An equilateral triangle has a perimeter of 483 meters. How long is each side?
LLemma 34B:
Reasoning: The perimeter of an equilateral triangle is 3 times the length of one side. 483/3 = <<483/3=161>>161 meters is the length of each side. ### Answer: 161
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?
LLemma 34B:
Reasoning: The perimeter of a triangle is the sum of the lengths of its sides. The third side is 804-262-90 = <<804-262-90=542>>542m long. ### Answer: 542
Expected answer: 452
Correct? No
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?
LLemma 34B:
Reasoning: The perimeter of the triangle is 183+498+x = 925. 183+498+x = 925 681+x = 925 x = 925-681 x = <<925-681=244>>244 ### Answer: 244
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?
LLemma 34B:
Reasoning: The perimeter of a triangle is the sum of the lengths of its sides. The third side is 573-103-386 = <<573-103-386=184>>184m. ### Answer: 184
Expected answer: 84
Correct? No
Problem: An equilateral triangle has a perimeter of 330m. What is the length of each of its sides?
LLemma 34B:
Reasoning: The perimeter of an equilateral triangle is 3*side. 330 = 3*side <<330/3=110>>110 = side ### Answer: 110
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?
LLemma 34B:
Reasoning: The perimeter of a triangle is the sum of the lengths of its sides. The length of the third side is 850-57-426 = <<850-57-426=317>>317m. ### Answer: 317
Expected answer: 367
Correct? No
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?
LLemma 34B:
Reasoning: The perimeter of a triangle is the sum of the lengths of its sides. The length of the third side is 764-265-56 = <<764-265-56=443>>443m. ### Answer: 443
Expected answer: 443
Correct? Yes
Problem: An equilateral triangle has a perimeter of 723cm. What is the length of each of its sides?
LLemma 34B:
Reasoning: The perimeter of an equilateral triangle is 3 times the length of one of its sides. The length of each of its sides is 723/3 = <<723/3=241>>241cm. ### Answer: 241cm
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?
LLemma 34B:
Reasoning: The perimeter of the triangle is 315+100+x = 738. 315+100+x = 738 x = 738-315-100 x = <<738-315-100=323>>323 ### Answer: 323
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?
LLemma 34B:
Reasoning: The perimeter of a triangle is the sum of the lengths of its sides. The third side is 762-131-147 = <<762-131-147=484>>484m long. ### Answer: 484
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?
LLemma 34B:
Reasoning: The perimeter of a triangle is the sum of its sides. The third side is 784-472 = <<784-472=312>>312m. ### Answer: 312
Expected answer: 312
Correct? Yes
Problem: An equilateral triangle has a perimeter of 543mm. What is the length of each of its sides?
LLemma 34B:
Reasoning: The perimeter of an equilateral triangle is 3 times the length of one of its sides. The length of each of its sides is 543/3 = <<543/3=181>>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?
LLemma 34B:
Reasoning: The perimeter of a triangle is the sum of the lengths of its sides. The length of the third side is 867-287-475 = <<867-287-475=105>>105m. ### Answer: 105
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?
LLemma 34B:
Reasoning: The perimeter of a triangle is the sum of the lengths of its sides. The length of the third side is 934-838 = <<934-838=106>>106m. ### Answer: 106
Expected answer: 96
Correct? No
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?
LLemma 34B:
Reasoning: The perimeter of a triangle is the sum of the lengths of its sides. The length of the third side is 677-109-530 = <<677-109-530=84>>84m. ### Answer: 84
Expected answer: 38
Correct? No
Problem: An equilateral triangle has a perimeter of 582 cm. What is the length of each of its sides?
LLemma 34B:
Reasoning: The perimeter of an equilateral triangle is 3 times the length of one of its sides. The length of each of its sides is 582/3 = <<582/3=194>>194 cm. ### Answer: 194
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?
LLemma 34B:
Reasoning: The perimeter of a triangle is the sum of the lengths of its sides. The length of the last side is 499-259-11 = <<499-259-11=129>>129m. ### Answer: 129
Expected answer: 229
Correct? No
Problem: An equilateral triangle has a perimeter of 966m. What is the length of each of its sides?
LLemma 34B:
Reasoning: The perimeter of an equilateral triangle is 3 times the length of one of its sides. The length of each of its sides is 966/3 = <<966/3=322>>322m. ### Answer: 322
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?
LLemma 34B:
Reasoning: The perimeter of the triangle is 894 inches. The perimeter of the triangle is 3 times the length of each side. 894/3 = <<894/3=298>>298 inches is the length of each side of the triangle. ### Answer: 298
Expected answer: 298
Correct? Yes
Problem: An equilateral triangle has a perimeter of 891cm. What is the length of each of its sides?
LLemma 34B:
Reasoning: The perimeter of an equilateral triangle is 3 times the length of each of its sides. The length of each of its sides is 891/3 = <<891/3=297>>297cm. ### Answer: 297
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?
LLemma 34B:
Reasoning: The perimeter of a triangle is the sum of the lengths of its sides. The third side of the triangle is 762-122-245 = <<762-122-245=495>>495 meters long. ### Answer: 495
Expected answer: 395
Correct? No
Problem: An equilateral triangle has a perimeter of 411m. What is the length of each side of the triangle?
LLemma 34B:
Reasoning: The perimeter of an equilateral triangle is 3 times the length of each side. 411/3 = <<411/3=137>>137m is the length of each side of the triangle. ### 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?
LLemma 34B:
Reasoning: The length of each side of the triangle is 72/3 = <<72/3=24>>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?
LLemma 34B:
Reasoning: The perimeter of the triangle is 930 meters. The perimeter of the triangle is 537+68+x = <<537+68+x=605+x>>605+x meters. The perimeter of the triangle is 930 = <<930=605+x>>605+x meters. The perimeter of the triangle is 930-605 = <<930-605=325>>325 = x meters. The length of the third side is 325 meters. ### Answer: 325
Expected answer: 325
Correct? Yes
Problem: An equilateral triangle has a perimeter of 657 meters. What is the length of each of its sides?
LLemma 34B:
Reasoning: The perimeter of an equilateral triangle is 3 times the length of each of its sides. The length of each of its sides is 657/3 = <<657/3=219>>219 meters. ### Answer: 219
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?
LLemma 34B:
Reasoning: The perimeter of a triangle is the sum of the lengths of its sides. The third side is 909-368-230 = <<909-368-230=301>>301m. ### Answer: 301
Expected answer: 311
Correct? No
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?
LLemma 34B:
Reasoning: The perimeter of a triangle is the sum of the lengths of its sides. The length of the third side is 700-140-525 = <<700-140-525=-205>>-205 m. ### Answer: -205
Expected answer: 35
Correct? No
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?
LLemma 34B:
Reasoning: The perimeter of the triangle is 915cm. The perimeter of the triangle is 484+130+x = <<484+130+x=614+x>>614+x. 614+x = 915 x = 915-614 = <<915-614=301>>301 The third side of the triangle is 301cm. ### Answer: 301
Expected answer: 301
Correct? Yes
Problem: An equilateral triangle has a perimeter of 120 cm. How long is each side of the triangle?
LLemma 34B:
Reasoning: The perimeter of an equilateral triangle is 3 times the length of one side. 120/3 = <<120/3=40>>40 cm ### Answer: 40
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?
LLemma 34B:
Reasoning: The perimeter of a triangle is the sum of the lengths of its sides. The perimeter of the triangle is 661m. The sum of the lengths of the two known sides is 382m+151m = <<382+151=533>>533m. The length of the third side is 661m-533m = <<661-533=128>>128m. ### Answer: 128
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?
LLemma 34B:
Reasoning: The perimeter of a triangle is the sum of the lengths of its sides. The length of the third side is 678-419-164 = <<678-419-164=155>>155 feet. ### Answer: 155
Expected answer: 95
Correct? No
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?
LLemma 34B:
Reasoning: The perimeter of a triangle is the sum of the lengths of its sides. The length of the remaining side is 248-186-37 = <<248-186-37=25>>25m. ### Answer: 25
Expected answer: 25
Correct? Yes
Problem: An equilateral triangle has a perimeter of 246 centimeters. What is the length of each of its sides?
LLemma 34B:
Reasoning: The perimeter of an equilateral triangle is 3 times the length of one of its sides. The length of each of its sides is 246/3 = <<246/3=82>>82 centimeters. ### Answer: 82
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.
LLemma 34B:
Reasoning: The perimeter of a triangle is the sum of the lengths of its sides. The length of the third side is 739-180-338 = <<739-180-338=221>>221 meters. ### Answer: 221
Expected answer: 221
Correct? Yes
Problem: An equilateral triangle has a perimeter of 684cm. What is the length of each of its sides?
LLemma 34B:
Reasoning: The perimeter of an equilateral triangle is 3 times the length of each of its sides. The length of each of its sides is 684/3 = <<684/3=228>>228cm. ### Answer: 228
Expected answer: 228
Correct? Yes
Problem: An equilateral triangle has a perimeter of 537m. What is the length of each of its sides?
LLemma 34B:
Reasoning: The perimeter of an equilateral triangle is 3 times the length of each of its sides. The length of each of its sides is 537/3 = <<537/3=179>>179m. ### Answer: 179
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?
LLemma 34B:
Reasoning: The perimeter of a triangle is the sum of the lengths of its sides. The length of the third side is 568-110-205 = <<568-110-205=253>>253m. ### Answer: 253
Expected answer: 253
Correct? Yes
Problem: An equilateral triangle has a perimeter of 942mm. What is the length of each of its sides?
LLemma 34B:
Reasoning: The perimeter of an equilateral triangle is 3 times the length of one of its sides. The length of each of its sides is 942/3 = <<942/3=314>>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?
LLemma 34B:
Reasoning: The perimeter of the triangle is 325+15+x = 633. 325+15+x = 633 340+x = 633 x = 633-340 = <<633-340=293>>293 The length of the third side of the garden is 293 meters. ### Answer: 293
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?
LLemma 34B:
Reasoning: The perimeter of an equilateral triangle is 3 times the length of each side. 504/3 = <<504/3=168>>168 meters is the length of each side of the triangle. ### Answer: 168
Expected answer: 168
Correct? Yes
Problem: An equilateral triangle has a perimeter of 51 cm. What is the length of each of its sides?
LLemma 34B:
Reasoning: The perimeter of an equilateral triangle is 3 times the length of each of its sides. The length of each of its sides is 51/3 = <<51/3=17>>17 cm. ### Answer: 17
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?
LLemma 34B:
Reasoning: The perimeter of an equilateral triangle is 3 times the length of each side. 501/3 = <<501/3=167>>167 feet is the length of each side of the triangle. ### Answer: 167
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?
LLemma 34B:
Reasoning: The perimeter of an equilateral triangle is 3 times the length of each side. 411/3 = <<411/3=137>>137 meters is the length of each side of the triangle. ### Answer: 137
Expected answer: 137
Correct? Yes
Problem: An equilateral triangle has a perimeter of 114cm. What is the length of each of its sides?
LLemma 34B:
Reasoning: The perimeter of an equilateral triangle is 3 times the length of one of its sides. The length of each of its sides is 114/3 = <<114/3=38>>38cm. ### Answer: 38
Expected answer: 38
Correct? Yes
Problem: An equilateral triangle has a perimeter of 69m. What is the length of each of its sides?
LLemma 34B:
Reasoning: The perimeter of an equilateral triangle is 3 times the length of each of its sides. The length of each of its sides is 69/3 = <<69/3=23>>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?
LLemma 34B:
Reasoning: The length of the third side is 907-464-377 = <<907-464-377=73>>73m. ### Answer: 73
Expected answer: 66
Correct? No
Problem: An equilateral triangle has a perimeter of 966m. What is the length of each of its sides?
LLemma 34B:
Reasoning: The perimeter of an equilateral triangle is 3 times the length of one of its sides. The length of each of its sides is 966/3 = <<966/3=322>>322m. ### Answer: 322
Expected answer: 322
Correct? Yes