# What is the length of the hypotenuse of a right triangle if the two other sides are of lengths 8 and 14?

Dec 22, 2015

$4 \sqrt{65}$

#### Explanation:

Since it is a right triangle, we're gonna use the Pythagorean theorem in getting the sides:

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

or

c=sqrt(a^2+b^2

$a = 8$, ${a}^{2} = 64$

$b = 14$, ${b}^{2} = 196$

Now, substitute the values accordingly,

c=sqrt(8^2+14^2

c=sqrt(64+196

$c = \sqrt{260}$

$c = 4 \sqrt{65}$