Exploring Centroids of Sub-triangles Formed by a Point

2016-01-12 01:10
This GeoGebra applet explores triangle centroids. Given △ABC and point G, it constructs sub-triangles △ACG, △ABG, and △BCG, locating their centroids G1, G2, and G3. Drag points to dynamically observe area ratios, vector relationships, and properties between the original and the new centroid triangle △G1G2G3. Ideal for visualizing barycentric coordinates and vector operations in plane geometry.