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

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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.

External Links

Triangle Centroid (Wolfram MathWorld)
Triangle Median (Wolfram MathWorld)

Permanent Citation

Tomas Garza
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​"The Centroid of a Triangle Divides Each Median in the Ratio 1:2"​
​http://demonstrations.wolfram.com/TheCentroidOfATriangleDividesEachMedianInTheRatio12/​
​Wolfram Demonstrations Project​
​Published: October 13, 2010