Question

A triangle with sides 7.5, 10, and 12.5 is a right triangle.

Answer 1

Yes

Explanation:

`( {12.5)}^(2) = 156.25...(1) \\ ( {7.5)}^(2) + ( {10)}^(2) \\ = 56.25 + 100 = 156.25...(2) \\ from \: equations \: (1) \: and \: (2) \\ ( {12.5)}^(2) =( {7.5)}^(2) + ( {10)}^(2) \\ \therefore \: given \: side \: lengths \: form \: right \: \\triangle \\ (by \: converse \: of \: pythagorean \: \\ theorem)`