# What is the distance between the points (38, 30) and (14, 20)?

Dec 4, 2016

The distance between the points is $24.7$ rounded to the nearest tenth.

#### Explanation:

The formula for calculating the distance between two points is:

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

Substituting in the points given in this problem and calculating for $d$ is:

$d = \sqrt{{\left(14 - 38\right)}^{2} + {\left(20 - 14\right)}^{2}}$

$d = \sqrt{{\left(- 24\right)}^{2} + {\left(- 6\right)}^{2}}$

$d = \sqrt{576 + 36}$

$d = \sqrt{602}$

$d = 24.7$ rounded to the nearest tenth.