Question

Find the distance between the following pairs of point in the coordinate plane :

(13 , 7) and (4 , -5)

Answer 1

A = (13 , 7) , B = (4 , -5)

AB = `sqrt (("x"_2 - "x"_1)^2 + ("y"_2 - "y"_1)^2)`

` = sqrt ((4 - 13)^2 + (-5-7)^2)`

`= sqrt (81 + 144)`

`= sqrt 225`

= 15 units.