# The legs of a right triangle are 3 and 4 how do you find the length of the hypotenuse?

Jun 20, 2015

So, the hypotenuse is color(red)(5.

#### Explanation:

The Pythagoras theorem goes as follows:

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

Here :color(blue)(a=3, b=4

$\textcolor{b l u e}{{3}^{2} + {4}^{2}} = {c}^{2}$
$9 + 16 = {c}^{2}$
$25 = {c}^{2}$
$c = \sqrt{25} = 5$
So, the hypotenuse is color(red)(5.