# What is the distance between (7,-16) and (-14,24)?

Mar 8, 2016

$45.177$

#### Explanation:

The distance between two points $\left({x}_{1} , {y}_{1}\right)$ and $\left({x}_{2} , {y}_{2}\right)$ is given by

$\sqrt{{\left({x}_{2} - {x}_{1}\right)}^{2} + {\left({y}_{2} - {y}_{1}\right)}^{2}}$

Hence distance between (7,−16) and (−14,24) is

sqrt(((-14)-7)^2+(24-(-16)^2) or

$\sqrt{{\left(- 21\right)}^{2} + {\left(40\right)}^{2}}$ or

$\sqrt{441 + 1600}$ or $\sqrt{2041}$ or $45.177$