# Distance Between Two Points

Written by Jerry Ratzlaff on . Posted in Geometry

The distance between two points using two given coordinate points.

## Distance between two points (2d) formula

 $$\large{ d = \sqrt{ \left( x_2 - x_1 \right)^2 + \left( y_2 - y_1 \right)^2 } }$$

### Where:

$$\large{ d }$$ = distance

$$\large{ x_1 }$$ = x-coordinate of first point

$$\large{ y_1 }$$ = x-coordinate of first point

$$\large{ x_2 }$$ = x-coordinate of second point

$$\large{ x_2 }$$ = x-coordinate of second point

## Distance between two points (3d) formula

 $$\large{ d = \sqrt{ \left( x_2 - x_1 \right)^2 + \left( y_2 - y_1 \right)^2 + \left( z_2 - z_1 \right)^2 } }$$

### Where:

$$\large{ d }$$ = distance

$$\large{ x_1 }$$ = x-coordinate of first point

$$\large{ y_1 }$$ = x-coordinate of first point

$$\large{ z_1 }$$ = x-coordinate of first point

$$\large{ x_2 }$$ = x-coordinate of second point

$$\large{ x_2 }$$ = x-coordinate of second point

$$\large{ z_2 }$$ = x-coordinate of second point