9

Set 1: Triangles

Explanation

Answer: A

A rectangular campus measures 9 inches by 40 inches. What is the length of a diagonal path across the campus?

A.

41

✓ Correct
B.

31

C.

20

D.

51

Detailed Explanation

Choice A is correct. Using the Pythagorean theorem: a2+b2=c2a^2 + b^2 = c^2 1. Given values: 9 and 40 Calculate: 92+402=81+1600=16819^2 + 40^2 = 81 + 1600 = 1681 Take square root: 1681=41\sqrt{1681} = 41 Therefore, the answer is 41 inches.

Key Steps:

The correct answer is 41

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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