Question

One side of a right triangle has a length of 12 feet. Which of the following could be lengths for the two other sides of the right triangle?

I. 5 feet and 13 feet
II. 9 feet and V63 feet
III. V2 feet and V10 feet

A. III, and III
B. I and II only
C. I only
D.II and Ill only

Answer 1

B

Explanation:

Apply the Pythagorean Theorem to determine whether or not the given triplets represent right triangles or not:

I. 5 feet and 13 feet: 5^2 + 12^2 = 13^2 is TRUE

II. 9 ft and √63 ft: 9^2, 63, 12^2: 63 + 81 do add up to 144 TRUE

III. 2, 10, 12^2: 2 + 10 do NOT add up to 144. FALSE

Answer B is correct