Question

What is the distance between (0,0) and (-15,36)?

Answer 1

`39`

Explanation:

From Pythagoras theorem, we get the following formula for the distance between points `(x_1, y_1)` and `(x_2, y_2)` in the plane:

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

In our example, `(x_1, y_1) = (0, 0)` and `(x_2, y_2) = (-15, 36)`, giving us:

`d = sqrt((-15-0)^2+(36-0)^2)`

`= sqrt((-15)^2+36^2)`

`= sqrt(225+1296)`

`= sqrt(1521)=39`