What is the distance between (-6, -6) (6,6) and (–5, 13) ?

1 Answer
Dec 29, 2015

Distance
=color(blue)(sqrt(362)

Explanation:

The points are
(-6,-6) = color(blue)(x_1,y_1

(-5,13) = color(blue)(x_2,y_2

Distance can be found using formula

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

=sqrt((-5- (-6)^2 + (13-(-6))^2

=sqrt((-5 +6)^2 + (13 +6)^2

=sqrt((1)^2 + (19)^2

=sqrt((1 +361)

=color(blue)(sqrt(362)