4

Set 2: Triangles

Explanation

Answer: A

A triangular picture frame has sides measuring 17 inches and 10 inches. If the total perimeter is 51 inches, find the length of the third side.

A.

24

✓ Correct
B.

34

C.

12

D.

14

Detailed Explanation

Choice A is correct. The perimeter of a triangle is the sum of all three sides. 1. Total perimeter: 51 inches Two known sides: 17 + 10 = 27 inches Third side: 51 - 27 = 24 inches Therefore, the third side is 24 inches.

Key Steps:

The correct answer is 24

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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