Midpoint Calculator
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Step-by-Step Solution
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