Centroid of a Triangle by johnharrington0

This example demonstrates how to construct the centroid (barycenter) of a triangle using geometric methods, which is the intersection point of the three medians. The core mathematical concepts include medians, centroid properties (dividing each median in a 2:1 ratio), and the coordinate average formula. Construction steps: using GeoGebra's Segment command to draw medians from vertices to midpoints of opposite sides, the Midpoint command to locate side midpoints, and the Intersect command to find the common point of two medians, labeled G. Suitable for middle school and above to visualize the centroid's geometric meaning, verify coordinate formulas in analytic geometry, or serve as a starting point for dynamic geometry explorations.