How do you determine whether or not a triangle with sides of lengths 5, 6 and 8 forms a right triangle?

Aug 8, 2018

Plug into the Pythagorean theorem, see below for work

Explanation:

Plug into the Pythagorean theorem, if it does not work then it is not a right triangle

${a}^{2} + {b}^{2} = {c}^{2}$

${5}^{2} + {6}^{2} = {8}^{2}$

$61 = 64$

You can see that those do not equal