3

Set 2: Triangles

Explanation

Answer: D

Samuel is building a ramp that rises 12 centimeters vertically over a horizontal distance of 9 centimeters. What is the length of the ramp surface?

A.

25

B.

7

C.

5

D.

15

✓ Correct

Detailed Explanation

Choice D is correct. Using the Pythagorean theorem: a2+b2=c2a^2 + b^2 = c^2 1. Given values: 9 and 12 Calculate: 92+122=81+144=2259^2 + 12^2 = 81 + 144 = 225 Take square root: 225=15\sqrt{225} = 15 Therefore, the answer is 15 centimeters.

Key Steps:

•

The correct answer is 15

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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