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

Requires a Wolfram Notebook System

Interact on desktop, mobile and cloud with the free Wolfram CDF Player or other Wolfram Language products.

Requires a Wolfram Notebook System

Edit on desktop, mobile and cloud with any Wolfram Language product.

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.

Contributed by: Tomas Garza (March 2011)

Open content licensed under CC BY-NC-SA