# What is the distance between (48,18) and (34,12)?

Mar 3, 2018

$15.232$

#### Explanation:

The distance between two coordinates formula states that:

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

Here,

${y}_{2} = 34$

${y}_{1} = 48$

${x}_{2} = 12$

${x}_{1} = 18$

Inputting:

$d = | \sqrt{{\left(12 - 18\right)}^{2} + {\left(34 - 48\right)}^{2}} |$

$d = | \sqrt{{\left(- 6\right)}^{2} + {\left(- 14\right)}^{2}} |$

$d = | \sqrt{36 + 196} |$

$d = | \sqrt{232} |$

$d = | \pm 15.232 |$

$d = 15.232$