# Midpoint (3 dimension) Calculator

Calculate the midpoint between two Entered coordinates (x_{1} , y_{1} , z_{1}) and (x_{2} , y_{2} , z_{2}) in three dimensional Cartesian coordinate system by averaging the XYZ coordinates.

The Midpoint Between (x_{1} , y_{1}, z_{1} ) and (x_{2} , y_{2}, z_{2}) points measure a linear midpoint between two locations.

## Midpoint Formula:

M = ((x_{1} + x_{2})/2 , (y_{1} + y_{2})/2 , (z_{1} + z_{2})/2)

**Therefore we can define the Midpoint with three dimention as follows:**

The line segment on the 3D coordinate plane **AB** is a part of the line that is bound by two distinct points **A _{(x1,y1,z1)}** and

**B**which are called the endpoints of the line segment

_{(x2,y2,z2)}**AB**.

The point **M** is the midpoint of the line segment **AB** if it is an element of the segment and divides it into two congruent segments, **AM and MB**.

Each segment between the midpoint M and an endpoint have the equal length.

The midpoint is the center, or middle, of a line segment. Any line segment has a unique midpoint.

So, we can find the midpoint of any segment on the coordinate plane by using the mipoint formula.