Midpoint Calculator – Analytical Geometry Calculators

Midpoint Calculator

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About Midpoint Calculation

The midpoint between two points is the point that is exactly halfway between them. This calculator uses the midpoint formula to find this point.

Midpoint Formulas

2D Midpoint Formula

For two points (x₁, y₁) and (x₂, y₂) in a 2D plane, the midpoint (xm, ym) is:

$x_m = \frac{x_1 + x_2}{2}$

$y_m = \frac{y_1 + y_2}{2}$

3D Midpoint Formula

For two points (x₁, y₁, z₁) and (x₂, y₂, z₂) in 3D space, the midpoint (xm, ym, zm) is:

$x_m = \frac{x_1 + x_2}{2}$

$y_m = \frac{y_1 + y_2}{2}$

$z_m = \frac{z_1 + z_2}{2}$

Applications of Midpoint Formula

The midpoint formula is used in various applications:

  • Finding the center of a line segment
  • Calculating the coordinates of a point that divides a line segment into two equal parts
  • In computer graphics for determining the center point between two vertices
  • In navigation to find a point halfway between two locations

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