How to Find the Midpoint of a Line Segment: Formula and Examples

Midpoint

In mathematics, the midpoint is the point that is exactly halfway between two given points on a line segment

In mathematics, the midpoint is the point that is exactly halfway between two given points on a line segment. To find the midpoint, we use the formula:

Midpoint = (x1 + x2)/2, (y1 + y2)/2

Where (x1, y1) and (x2, y2) are the coordinates of the two given points.

Let’s consider an example:
Suppose we have two points A with coordinates (2, 4) and B with coordinates (6, 8). We want to find the midpoint of the line segment AB.

Using the formula, we substitute the given values:
Midpoint = (2 + 6)/2, (4 + 8)/2
= 8/2, 12/2
= 4, 6

Hence, the midpoint of the line segment AB is (4, 6).

It’s important to note that the midpoint formula can be applied to any number of dimensions (2D, 3D, etc.) as long as the coordinates of the points are known. Also, this concept is not limited to just lines, but can be used to find the midpoint of line segments, line segments inside triangles, and even line segments inside circles.

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