How do you find the distance between the points (5,8) , (2,4)?

Mar 9, 2018

distance = $5$ units

Explanation:

Given: Find the distance between $\left(5 , 8\right) \text{ and } \left(2 , 4\right)$

Use the distance formula: $d = \sqrt{{\left({x}_{2} - {x}_{1}\right)}^{2} + {\left({y}_{2} - {y}_{1}\right)}^{2}}$

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

$d = \sqrt{{3}^{2} + {4}^{2}}$

$d = \sqrt{9 + 16} = \sqrt{25} = 5$