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 \\eq 4225`