# How do you use pythagorean theorem to solve the right triangle if the legs have lengths 4 and 9?

Jun 4, 2015

In this case consider the triangle to be standing on 2 legs.

Jun 4, 2015

The equation for a right triangle is ${c}^{2} = {a}^{2} + {b}^{2}$.

Let $a = 9 \mathmr{and} b = 4$.

$c = \sqrt{{a}^{2} + {b}^{2}}$

$c = \sqrt{{9}^{2} + {4}^{2}}$

$c = \sqrt{81 + 16} = \sqrt{97}$