7

Set 2: Triangles

Explanation

Answer: A

James wants to build a triangular fence for a farm. Two sides measure 9 meters and 9 meters. If James has exactly 34 meters of fencing material, what must be the length of the third side?

A.

16

✓ Correct
B.

8

C.

26

D.

6

Detailed Explanation

Choice A is correct. The perimeter of a triangle is the sum of all three sides. 1. Total perimeter: 34 meters Two known sides: 9 + 9 = 18 meters Third side: 34 - 18 = 16 meters Therefore, the third side is 16 meters.

Key Steps:

The correct answer is 16

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

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