Question

Prove that the centroid divides the median in the ratio 2:1​

Answer 1

Answer:

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Step-by-step explanation:

Proof of centroid divides median

A median is the line from a midpoint of a side to the opposite vertex.  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.

Showing that the centroid divides each median into segments with a 2:1 ratio (or that the centroid is 2/3 along the median).