How do you use the Pythagorean Theorem to solve for the missing sides 15, 25, b?

Jul 1, 2015

b = color(green)(20.

Explanation:

The Pythagoras theorem goes as follows:

color(blue)(a^2+b^2 = c^2 , where $c$ is the hypotenuse.

Here :color(blue)(a=15 and c = 25

$\textcolor{b l u e}{{15}^{2} + {b}^{2}} = 625$
$225 + {b}^{2} = 625$
$400 = {b}^{2}$
$b = \sqrt{400} = 20$
So, b = color(green)(20.