Question

Do the following lengths form a right triangle?
​45, 117, and 125

Answer 1

NOT

Explanation:

`\text{If}\ a\leq b<c\ \text{and}\ a^2+b^2=c^2,\ \text{then}\ a,\ b\ \text{and}\ c\ \text{form a right triangle.}\\\\\text{We have:}\\\\a=45,\ b=117,\ c=125\\\\\text{substitute}\\\\a^2+b^2=45^2+117^2=2025+13689=15714\\\\c^2=125^2=15625\\\\a^2+b^2\\eq c^2\\\\\text{Therefore your answer is}\ \bold{NO}`