Which set of lengths could be the side lengths of a right triangle?

A. 7 in., 7 in., 10 in.

B. 4.5 ft, 6 ft, 7.5 ft

C. 10 m, 11 m, 15 m

D. 8 cm, 10 cm, 13 cm

Step-by-step explanation:

If a triangle is a right triangle, then its side lengths must satisfy the Pythagorean Theorem: a^2 + b^2 = c^2, where c is the hypotenuse.

Let's check A, B, C and D in that order and determine which, if any, satisfies this requirement.

A: 7^2 + 7^2 = 10^2 = > 49 + 49 = 100 False; eliminate option A.

B: 4.5^2 + 6^2 = 40.5 is NOT equal to 7.5^2. False: eliminate option B.

C: 10^2 + 11^2 = 221 is NOT equal to 15^2. False: eliminate Option C.

D: 8^2 + 10^2 = 164 is NOT equal to 13^2. False: eliminate Option D.

None of these seets could be the side lengths of a right triangle.