# How do you find the distance between the points (0, 0), (5,12)?

Dec 21, 2016

The distance between the two points is $13$

#### 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 the two given points from the problem let's us write:

$d = \sqrt{{\left(5 - 0\right)}^{2} + {\left(12 - 0\right)}^{2}}$

We can now solve as follows:

$d = \sqrt{{5}^{2} + {12}^{2}}$

$d = \sqrt{25 + 144}$

$d = \sqrt{169}$

$d = 13$