7

Set 5: Triangles (Intermediate)

Explanation

Answer: A

PROBLEM

Recent studies show that a right triangle has legs of length 7 and 24. What is the length of the hypotenuse?

A right triangle has legs of length 7 and 24. What is the length of the hypotenuse?

A.

25

✓ Correct
B.

24

C.

23

D.

28

Detailed Explanation

[Variation 1] Choice A is the best answer. c squared = 7 squared + 24 squared = 49 + 576 = 625. c = 25

Why others are wrong:
B: 24 is incorrect because it does not satisfy the equation.
C: 23 is incorrect because it does not satisfy the equation.
D: 28 is incorrect because it does not satisfy the equation.