Question

What is the distance between `(8,5)` and `(1,2)`?

Answer 1

`"distance"=sqrt(58)`

Explanation:

We can find this distance using Pythagoras' formula. But now we only have one side of the triangle, so, we need to complete the rectangle triangle, and in order to make a `pi/2` angle, we have to create two lines, one with the projection of the extremes in `x` axis, and the other with the projections in `y` axis. Then, we take the difference between the lines of both projections:
`trianglex = 8-1 = 7`
`triangley = 5-2 = 3`

Now, apply the formula: `"distance"^2 = 7^2 + 3^2`
`"distance"=sqrt(58)`