Question

Find the distance between the two labeled points?

Answer 1

The distance is `|AB|=5sqrt(2)`. See explanation

Explanation:

To find the distance between 2 points: `A=(x_A,y_A)` and `B=(x_B,y_B)` you use the formula:

`|AB|=sqrt((x_B-x_A)^2+(y_B-y_A)^2)`

If we use this formula for the given points we get:

`|AB|=sqrt((2-(-3))^2+(3-(-2))^2)=sqrt((2+3)^2+(3+2)^2)=`

`=sqrt(5^2+5^2)=sqrt(50)=5sqrt(2)`