# How do you find the distance between (2,4) and (-5,0)?

Sep 5, 2016

$d = \sqrt{65}$ units

#### Explanation:

We have: $\left(2 , 4\right) , \left(- 5 , 0\right)$

Let's apply the distance formula:

$\implies d = \sqrt{{\left(\left(- 5\right) - \left(2\right)\right)}^{2} + {\left(\left(0\right) - \left(4\right)\right)}^{2}}$ units

$\implies d = \sqrt{{\left(- 7\right)}^{2} + {\left(- 4\right)}^{2}}$ units

$\implies d = \sqrt{49 + 16}$ units

$\implies d = \sqrt{65}$ units