# In a right triangle, the base is 11 units long, and the height is 10 units long, how do you figure out the other side's length?

Jun 20, 2015

The sidecolor(blue)(= 14.86 units

#### Explanation:

The Pythagoras theorem goes as follows:

color(blue)(a^2+b^2 = c^2

$a$ is the base, $b$ is height $c$ is hypotenuse.

Here :color(blue)(a=11, b=10

$\textcolor{b l u e}{{11}^{2} + {10}^{2}} = {c}^{2}$
$221 = {c}^{2}$
$c = \sqrt{221}$
 color(blue)(c = 14.86