1

Set 2: Triangles (Intermediate)

Explanation

Answer: D

PROBLEM

Researchers have observed 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.

17

B.

16

C.

18

D.

15

✓ Correct

Detailed Explanation

[Variation 3] Choice D is the best answer. c squared = 9 squared + 12 squared = 81 + 144 = 225. c = 15

Why others are wrong:
A: 17 is incorrect because it does not satisfy the equation.
B: 16 is incorrect because it does not satisfy the equation.
C: 18 is incorrect because it does not satisfy the equation.