Question

What is the distance between `(3, 0)` and `(0, 4)`?

Answer 1

It's 5 (Euclidean distance)

Explanation:

Use the Euclidean distance:

`d=sqrt(Δx^2+Δy^2)=sqrt((3-0)^2+(0-4)^2)=sqrt(3^2+4^2)=sqrt(9+16)=sqrt(25)=5`

Note: The order of the coordinates inside the powers does not matter.

Understanding it: Geometrically speaking, draw a line between these two points in the Cartesian system. Afterwards, draw a vertical line and a horizontal line in each of the points. You can notice that they form 2 triangles which have a `90^o` angle each. Pick one of them and apply the Pythagorean theorem.