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Centroid of a Triangle

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Examples, solutions, videos, worksheets, and activities to help Geometry students learn how to construct the centroid of a triangle.

The following diagram shows the centroid of a triangle. Scroll down the page for more examples and solutions on the centroid of a triangle.
Centroid Triangle

Constructing the Centroid
The centroid is the point of concurrency of the three medians in a triangle. It is the center of mass (center of gravity) and therefore is always located within the triangle. The centroid divides each median into a piece one-third the length of the median and two-thirds the length. To find the centroid, we find the midpoint of two sides in the coordinate plane and use the corresponding vertices to get equations.

Construction of a Triangle Centroid
The Centroid
The point of concurrency of the three medians is the Centroid.

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