# What is the distance between (3, 2) and  (-2, 4) ?

May 26, 2016

The distance $= \sqrt{29}$

#### Explanation:

(3,2) = color(blue)((x_1 , y_1)

(-2,4) = color(blue)((x_2 , y_2)

The distance is calculated using formula:

Distance =color(blue)(sqrt ((x_2 - x_1)^2 + (y_2 - y_1)^2)

$= \sqrt{{\left(- 2 - 3\right)}^{2} + {\left(4 - 2\right)}^{2}}$

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

=sqrt ((25 +4)

$= \sqrt{29}$