Question

The distance between the points (0, 5) and (5, 0) is ______.

Answer 1

The distance between the points (0, 5) and (5, 0) is `underlinebb(5sqrt(2))`.

Explanation:

Use the distance formula `d = sqrt((x_2 - x_1)^2 + (y_2 - y_1)^2)`. 

For (0, 5) and (5, 0): Δ_x = 5, Δ_y = −5 

So `d = sqrt(5^2 + (-5)^2)`

= `sqrt(25 + 25)`

= `sqrt(50)`

= `5sqrt(2)`