1

Set 5: Triangles

Explanation

Answer: D

Riley is building a ramp that rises 30 centimeters vertically over a horizontal distance of 16 centimeters. What is the length of the ramp surface?

A.

17

B.

44

C.

24

D.

34

✓ Correct

Detailed Explanation

Choice D is correct. Using the Pythagorean theorem: a2+b2=c2a^2 + b^2 = c^2 1. Given values: 16 and 30 Calculate: 162+302=256+900=115616^2 + 30^2 = 256 + 900 = 1156 Take square root: 1156=34\sqrt{1156} = 34 Therefore, the answer is 34 centimeters.

Key Steps:

•

The correct answer is 34

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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