# What is the distance between (5, 6)  and (8, 8)?

Feb 20, 2016

sqrt13 ≈ 3.6

#### Explanation:

To calculate the distance between 2 coordinate points use the
$\textcolor{b l u e}{\text{ distance formula }}$

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

where $\left({x}_{1} , {y}_{1}\right) \text{ and " (x_2,y_2) " are the coords of the 2 points}$

here let $\left({x}_{1} , {y}_{1}\right) = \left(5 , 6\right) \text{ and } \left({x}_{2} , {y}_{2}\right) = \left(8 , 8\right)$

$\Rightarrow d = \sqrt{{\left(8 - 5\right)}^{2} + {\left(8 - 6\right)}^{2}} = \sqrt{9 + 4} = \sqrt{13}$