3

Set 1: Triangles

Explanation

Answer: B

Abigail wants to build a triangular fence for a park. Two sides measure 14 inches and 17 inches. If Abigail has exactly 39 inches of fencing material, what must be the length of the third side?

A.

4

B.

8

✓ Correct
C.

16

D.

18

Detailed Explanation

Choice B is correct. The perimeter of a triangle is the sum of all three sides. 1. Total perimeter: 39 inches Two known sides: 14 + 17 = 31 inches Third side: 39 - 31 = 8 inches Therefore, the third side is 8 inches.

Key Steps:

The correct answer is 8

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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