# How do you use the Pythagorean Theorem to determine if the following three numbers could represent the measures of the sides of a right triangle: 8,15,17?

May 31, 2016

$8 , 15 , 17$ represent the measures of the sides of a right triangle.

#### Explanation:

To find whether the three numbers $8 , 15 , 17$ could represent the measures of the sides of a right triangle or not using Pythagoras theorem, one need to check whether the square of the largest side (here $17$), is equal to sum of the squares of other two or not.

Here, ${17}^{2} = 17 \times 17 = 289$

and ${8}^{2} + {5}^{2} = 8 \times 8 + 15 \times 15 = 64 + 225 = 289$

As the two are equal, $8 , 15 , 17$ represent the measures of the sides of a right triangle.