This topic is about the distance between two points in the two dimensional system.

Suppose we are given a point with the co-ordinate (, ) and a point with the co-ordinate (, ). We want to find the distance between point and point .

The distance from point to point is:

This distance formula is derived from the Pythagorean Theorem with the formula. ( is the longest side opposite to the right angle in the right angled triangle.)

Here is a diagram illustrating the geometric intuition behind the formula.

**Examples**

__Example One__

Given the point as (-1, 2) and as (3, 0), the distance between point and point is:

__Example Two__

Suppose that the point is (-2, 10) and the point is (0, 4), the distance between point and point is: