Question

Which set of lengths are not the side lengths of a right triangle? (A-28, 45, 53) (B-13, 84, 85) (C-36, 77, 85) (D-16, 61, 65) [Explain]

Answer 1

Side lengths 16, 61, and 65 are not part of a right triangle.

A right triangle's sides should follow this formula, C being the largest number:

$a^{2} + b ^{2} = c^{2}$

$16^{2} = 256$

$61^{2} = 3721$

$65^{2} = 4225$

256 + 3721 = 3977

$3977 \neq 4225$