# A triangle has sides with lengths of 7 meters, 24 meters, and 25 meters. Is it a right triangle?

Nov 29, 2016

As ${25}^{2} = {7}^{2} + {24}^{2}$ it is a square triangle.

#### Explanation:

if it were a right triangle, then the theorem of Pytagoras would apply and then:

${7}^{2} + {24}^{2}$ would be equal to ${25}^{2}$

In fact:

${7}^{2} + {24}^{2} = 625$
${25}^{2} = 625$

and so the triangle is a right triangle.