Question

What is the distance between (6,5) and (2,3)?

Answer 1

distance between point is `" "2sqrt(5)`

Explanation:

The straight line between these point can be considered as the hypotenuse of a triangle. Consequently it can be solved using Pythagoras.

Let the distance between the points be`" "d`

Then

`" "d=sqrt( [x_2-x_1]^2+[y_2-y_1] ^2)`

`" "d=sqrt( [2-6]^2+[3-5] ^2)`

`" "d= sqrt(20) = 2sqrt(5)`