Question

Question #f11e4

Answer 1

`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)`