8

Set 4: Triangles

Explanation

Answer: D

A rectangular stadium measures 18 meters by 80 meters. What is the length of a diagonal path across the stadium?

A.

92

B.

41

C.

72

D.

82

✓ Correct

Detailed Explanation

Choice D is correct. Using the Pythagorean theorem: a2+b2=c2a^2 + b^2 = c^2 1. Given values: 18 and 80 Calculate: 182+802=324+6400=672418^2 + 80^2 = 324 + 6400 = 6724 Take square root: 6724=82\sqrt{6724} = 82 Therefore, the answer is 82 meters.

Key Steps:

•

The correct answer is 82

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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