7

Set 3: Triangles

Explanation

Answer: D

A triangular running track has one side of 9 kilometers and another of 24 kilometers. If one complete lap is 59 kilometers, what is the length of the third side?

A.

36

B.

13

C.

16

D.

26

✓ Correct

Detailed Explanation

Choice D is correct. The perimeter of a triangle is the sum of all three sides. 1. Total perimeter: 59 kilometers Two known sides: 9 + 24 = 33 kilometers Third side: 59 - 33 = 26 kilometers Therefore, the third side is 26 kilometers.

Key Steps:

The correct answer is 26

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

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