# Distance formula

## Formula

$d \,=\, \sqrt{{(x_{2}-x_{1})}^2+{(y_{2}-y_{1})}^2}$

The distance between any two points in a two dimensional space is equal to square root of sum of squares of differences of their coordinates.

### Proof

Learn how to derive distance formula in geometric approach to find the distance between any two points in two dimensional Cartesian coordinate system.

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