10

Set 1: Triangles

Explanation

Answer: D

Harper wants to build a triangular fence for a airport. Two sides measure 17 centimeters and 15 centimeters. If Harper has exactly 50 centimeters of fencing material, what must be the length of the third side?

A.

8

B.

28

C.

9

D.

18

✓ Correct

Detailed Explanation

Choice D is correct. The perimeter of a triangle is the sum of all three sides. 1. Total perimeter: 50 centimeters Two known sides: 17 + 15 = 32 centimeters Third side: 50 - 32 = 18 centimeters Therefore, the third side is 18 centimeters.

Key Steps:

The correct answer is 18

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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