Question #f11e4

1 Answer
Jan 1, 2018

#color(green)(AB = 1)#

#color(blue)(AD = 1)#

Explanation:

Shortest distance between two points can be calculated, as under, if the coordinates of the two points are given:

Distance #d = sqrt((x_1-x_2)_2 + (y_1 - y_2)^2)# where
#(x_1, y_1), (x_2, y_2)# are the coordinates of the two points between which the distance is calculated.

Given
Coordinates of #A = (-3, -1), B = (-2, -1), D = (-3, -3)#

Distance #AB = sqrt((-3 - (-2))^2 + (-1 - (-1))^2) = 1#
Since y coordinates are the same, distance #color(green)(AB = (-2 - (-3)) = 1)#

Similarly, Distance #AD = sqrt((-3 (-3))^2 + (-1 - (-3))^2) = 2#
Since x coordinates are the same, distance #color(blue)(AD = (-1 - (-3)) = 2)#