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

Answer:

B

Step-by-step 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