# What is the distance between (17,13) and (-11,-19)?

Nov 20, 2015

The distance between $\left(17 , 13\right)$ and $\left(- 11 , - 19\right)$ is $42.52$

#### Explanation:

See image below (note that image is not accurately scaled).
By the Pythagorean Theorem the distance between the two points is
$\textcolor{w h i t e}{\text{XXX}} \sqrt{{\left(13 + 19\right)}^{2} + {\left(11 + 17\right)}^{2}}$

which can be evaluated (using a calculator) as
$\textcolor{w h i t e}{\text{XXX}} 42.52$ (approximately)