Question

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

Answer 1

Answer:

Yes

Step-by-step explanation:

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