9

Set 1: Triangles

Explanation

Answer: A

Tom places a 52-centimeters ladder against a building. The base of the ladder is 20 centimeters from the wall. How high up the wall does the ladder reach?

A.

48

✓ Correct
B.

58

C.

24

D.

38

Detailed Explanation

Choice A is correct. Using the Pythagorean theorem: a2+b2=c2a^2 + b^2 = c^2 1. Given values: 20 and 48 Calculate: 202+482=400+2304=270420^2 + 48^2 = 400 + 2304 = 2704 Take square root: 2704=52\sqrt{2704} = 52 Therefore, the answer is 48 centimeters.

Key Steps:

•

The correct answer is 48

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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