Midpoint Calculator

For two points (x1, y1) and (x2, y2), the midpoint is ((x1 + x2) / 2, (y1 + y2) / 2). You average each coordinate independently. For example, the midpoint of (1, 2) and (5, 8) is (3, 5). Results are displayed to four decimal places.

The distance formula is d = sqrt((x2 - x1)^2 + (y2 - y1)^2), derived directly from the Pythagorean theorem applied to the horizontal and vertical differences. The calculator computes this alongside the midpoint every time you enter coordinates.

Common uses include splitting a line segment in architectural or graphic design, placing a label at the center of a chart series, and bisecting segments in geometry proofs. Averaging GPS latitude and longitude is only a coordinate midpoint and is not generally the geographic halfway point on Earth's curved surface.

In 3D mode you supply a z-coordinate for each point, and the midpoint gains a z component: ((x1 + x2) / 2, (y1 + y2) / 2, (z1 + z2) / 2). The distance formula extends to sqrt(dx^2 + dy^2 + dz^2). Enable the 3D toggle to enter z1 and z2.

Yes. The midpoint is the coordinate-wise arithmetic mean of the two endpoints. Each coordinate follows the simple (a + b) / 2 average, which is why the midpoint lies exactly halfway along the segment in every direction.