Triangle Centroid Properties: Median Intersection and 2:1 Ratio

This GeoGebra example demonstrates the fundamental geometric properties of a triangle's centroid. The centroid G is the intersection point of the three medians AD, BE, and CF of triangle ABC. By constructing midpoints D, E, F and their corresponding medians, the example visually illustrates that the centroid divides each median in a 2:1 ratio, meaning the distance from a vertex to the centroid (e.