# 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: sqrt7, 8, 9?

Since ${\left(\sqrt{7}\right)}^{2} + {8}^{2}$
$= 7 + 64 = 71$
$\ne {9}^{2}$
$\sqrt{7} , 8 , \text{ and } 9$ could not be the sides of a right-angled triangle.