10

Set 1: Triangles

Explanation

Answer: C

A triangular running track has one side of 20 centimeters and another of 11 centimeters. If one complete lap is 57 centimeters, what is the length of the third side?

A.

36

B.

13

C.

26

✓ Correct
D.

16

Detailed Explanation

Choice C is correct. The perimeter of a triangle is the sum of all three sides. 1. Total perimeter: 57 centimeters Two known sides: 20 + 11 = 31 centimeters Third side: 57 - 31 = 26 centimeters Therefore, the third side is 26 centimeters.

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.
D: This would give an incorrect result. Choice D is incorrect and may result from a calculation error.

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