# What is the Distance between points? known as the Euclidean / Pythagorean distance

In geometry (ie in coordinate space (Euclidean space)), a distance is the length of a line segment defined by two point.

## Calculation

With the Pythagorean theorem, it can be calculated from the Cartesian coordinates of the points.

With two coordinates: $$distance = \sqrt{(x_1 - x_2)² + (y_1 - y_2)² }$$

With n coordinates: $$distance = \sqrt{(x_1 - x_2)² + ... + (z_n - z_n)² }$$

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