# A triangle has sides with lengths of 39 miles, 80 miles, and 89 miles. Is it a right triangle?

Nov 29, 2016

Yes, it is a right triangle

#### Explanation:

For a triangle to be a right triangle, sum of the squares of two sides must be equal to the square of the third side. In the present case, ${39}^{2} = 1521$
${80}^{2} = 6400$ and
${89}^{2} = 7921$

It is thus seen the ${39}^{2} + {80}^{2} = {89}^{2}$

Hence it is a right triangle