10

Set 2: Triangles

Explanation

Answer: B

A rectangular mall measures 44 kilometers by 240 kilometers. What is the length of a diagonal path across the mall?

A.

254

B.

244

✓ Correct
C.

122

D.

234

Detailed Explanation

Choice B is correct. Using the Pythagorean theorem: a2+b2=c2a^2 + b^2 = c^2 1. Given values: 44 and 240 Calculate: 442+2402=1936+57600=5953644^2 + 240^2 = 1936 + 57600 = 59536 Take square root: 59536=244\sqrt{59536} = 244 Therefore, the answer is 244 kilometers.

Key Steps:

The correct answer is 244

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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