Question

Is a triangle with the sides 18,80,82 a right triangle

Answer 1

You can use the Pythagorean Theorem to check if this is a right triangle or not. Since 82 is the longest side, if this was a right triangle, it would have to be the hypotenuse and you would make it 'c'.
\[a ^{2}+b^{2}=c^{2}\]
\[18^{2}+80^{2}=? 82^{2}\]
\[324+6400=? 6724\]
\[6724=6724\]
This Pythagorean Theorem works, so that proves that this is a right triangle.