Question

WE has endpoints at
W(10, 2) and E(5, -3).
How long is WE?​

Answer 1

`WE=5√(2)`

Explanation:

Distance between two points:

The distance between
`(x_1,y_1)` and
`(x_2,y_2)` is given by
`=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2`

Hence distance between
`W(10,2)` and
`E(5,-3)`

`WE=√((5-10)^2+(-3-2)^2)=√((-5)^2+(-5)^2)=√(25+25)\\\\WE=√(50)=5√(2)`