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

Jun 10, 2016

Yes, $8$, $15$ and $17$ could be the measures of the sides of a right angled triangle.

#### Explanation:

If the triangle with sides $8$, $15$ and $17$ is a right angled triangle, $17$ the largest side must be hypotenuse.

According to Pythagoras theorem, in a right angled triangle, the square of hypotenuse is equal to the sum of squares of other two sides. Let us check it.

${17}^{2} = 289$ and ${8}^{2} + {15}^{2} = 64 + 225 = 289$

Therefore ${17}^{2} = {8}^{2} + {15}^{2}$.

Hence, $8$, $15$ and $17$ could be the measures of the sides of a right angled triangle.