10

Set 3: Triangles (Intermediate)

Explanation

Answer: D

PROBLEM

Evidence indicates that a right triangle has legs of length 9 and 12. What is the length of the hypotenuse?

A right triangle has legs of length 9 and 12. What is the length of the hypotenuse?

A.

12

B.

14

C.

13

D.

15

✓ Correct

Detailed Explanation

[Variation 4] Choice D is the best answer. c squared = 9 squared + 12 squared = 81 + 144 = 225. c = 15

Why others are wrong:
A: 12 is incorrect because it does not satisfy the equation.
B: 14 is incorrect because it does not satisfy the equation.
C: 13 is incorrect because it does not satisfy the equation.

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