# How do you find the distance between (2,10)  and (10,16)?

Jun 21, 2017

10

#### Explanation:

Use the distance formula:

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

Plug your points into the formula.

You can make either coordinate set #1. Let's use (2, 10) as our first.

$\left(2 , 10\right)$
${x}_{1} = 2 , {y}_{1} = 10$

$\left(10 , 16\right)$
${x}_{2} = 10 , {y}_{2} = 16$

Distance = $\sqrt{{\left(10 - 2\right)}^{2} + {\left(16 - 10\right)}^{2}}$

$= \sqrt{{8}^{2} + {6}^{2}}$
$= \sqrt{64 + 36}$
$= \sqrt{100}$
$= 10$

The distance between the two points is 10.