# Distance Formula

Let $P\left( {{x_1},{y_1}} \right)$ and $Q\left( {{x_2},{y_2}} \right)$ are any two points on the line. We find the distance between P and Q.
For This draw PM and QN perpendicular to X–Axis.
From P draw PR perpendicular to QN.
Consider the right angle triangle $\Delta {\text{PQR}}{\text{.}}$

I. First we find the distance between P and R.

II. Secondly, we find the distance between R and Q.

III. Finally, we find the distance between P and Q.
By using Pythagorean Theorem
We have