What is the distance between (6,5) and (1,7)?

Nov 25, 2015

=color(blue)(sqrt(29)

Explanation:

(6,5)=color(blue)((x_1,y_1)
and,

(1,7)=color(blue)((x_2,y_2)

The distance formula goes as follows:

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

$= \sqrt{{\left(1 - 6\right)}^{2} + {\left(7 - 5\right)}^{2}}$

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

$= \sqrt{25 + 4}$

=color(blue)(sqrt(29)