Constructing the Centroid - Concept

Concept Concept (1)

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.

Sample Sample Problems (2)

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Constructing the Centroid - Problem 1
Problem 1
How to construct the centroid of a triangle.
Constructing the Centroid - Problem 2
Problem 2
How to find missing lengths in a triangle where the three medians are drawn creating the centroid.