# A triangle has sides A, B, and C. Sides A and B are of lengths 5 and 1, respectively, and the angle between A and B is (pi)/2 . What is the length of side C?

Jan 23, 2016

$| C | = \sqrt{26}$
Given: $\triangle A B C$ is a right angled triangle with legs $| A | = 5$ and $| B | = 1$
$\Rightarrow C$ is the hypotenuse.
$\textcolor{w h i t e}{\text{XXX}} | C | = \sqrt{| A {|}^{2} + | B {|}^{2}} = \sqrt{{5}^{2} + {1}^{2}} = \sqrt{26}$