Question

What is the distance between `(3, 5)` and # (–5, 13) #?

Answer 1

Apply the distance formula to find that the distance is `8sqrt(2)`

Explanation:

Applying the Distance Formula with `(x_1, y_1) = (3, 5)` and `(x_2, y_2) = (-5, 13)` gives us

`"distance" = sqrt((x_2-x_1)^2 + (y_2-y_1)^2)`

`= sqrt((-5-3)^2+(13-5)^2)`

`= sqrt(64 + 64)`

`=sqrt(128) = 8sqrt(2)`