Question

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

(5 , -2) and (1 , 5)

Answer 1

A (5 , -2) , B (1 , 5)

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

`= sqrt ((1 - 5)^2 + (5 + 2)^2)`

`= sqrt (16+49)`

`= sqrt 65` units .