# What is the length of the hypotenuse of a right triangle if the two other sides are of lengths 1 and 5?

Mar 22, 2018

$\sqrt{26}$ units

#### Explanation:

Use the Pythagorean theorem to find the length of the hypotenuse:

${a}^{2} + {b}^{2} = {c}^{2}$, where c represents the hypotenuse and a and b are the legs (the two shortest sides)

We know that the legs of the right triangle are 1 and 5, we need to find the hypotenuse (c).

${1}^{2} + {5}^{2} = {c}^{2}$

$1 + 25 = {c}^{2}$

$26 = {c}^{2}$

$c = \sqrt{26}$

The hypotenuse is $\sqrt{26}$ units