# How do you use the Pythagorean Theorem to find the missing side of the right triangle with the given measures given c is the hypotenuse and we have a=3 c=4?

Feb 28, 2016

$\sqrt{7}$

#### Explanation:

Consider the diagram:

Use Pythagoras theorem

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

Where $c$ is the Hypotenuse

So,

$\rightarrow {3}^{2} + {x}^{2} = {4}^{2}$

$\rightarrow 9 + {x}^{2} = 16$

$\rightarrow {x}^{2} = 16 - 9$

$\rightarrow {x}^{2} = 7$

$\Rightarrow x = \sqrt{7}$