5

Set 1: Triangles

Explanation

Answer: B

A triangular running track has one side of 16 kilometers and another of 15 kilometers. If one complete lap is 37 kilometers, what is the length of the third side?

A.

12

B.

6

✓ Correct
C.

16

D.

3

Detailed Explanation

Choice B is correct. The perimeter of a triangle is the sum of all three sides. 1. Total perimeter: 37 kilometers Two known sides: 16 + 15 = 31 kilometers Third side: 37 - 31 = 6 kilometers Therefore, the third side is 6 kilometers.

Key Steps:

The correct answer is 6

Why others are wrong:
A: This would give an incorrect result. Choice A is incorrect and may result from a calculation error.
C: This would give an incorrect result. Choice C is incorrect and may result from a calculation error.
D: This would give an incorrect result. Choice D is incorrect and may result from a calculation error.

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