The Centroid of a Triangle Divides Each Median in the Ratio 1:2

A median is the line from a midpoint of a side to the opposite vertex. The medians meet in the centroid, which is the center of mass of the triangle. A visual proof is given for the fact that the centroid of a triangle splits each of the medians in two segments, the one closer to the vertex being twice as long as the other one.

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Related Curriculum Standards

US Common Core State Standards, Mathematics