Centroid and Median of a Triangle
Loading the math board and drawing, please wait…
This example demonstrates how to construct the centroid and medians of a triangle using GeoGebra. Key math concepts include the centroid formula ((x1+x2+x3)/3, (y1+y2+y3)/3), median definition, and coordinate geometry. GeoGebra commands used are Polygon, Midpoint, Segment, Distance, and Intersect. Suitable for middle school and above students to learn geometric properties, ideal for classroom demonstrations and geometric constructions.
GeoGebra Commands & Parameters
Polygon(A, B, C) → poly1, c, a, bMidpoint(a) → DSegment(A, D) → dDistance(B, D) → distanceBDDistance(D, C) → distanceDCDistance(B, C) → distanceBCMidpoint(b) → ESegment(B, E) → eDistance(C, E) → distanceCEDistance(E, A) → distanceEAIntersect(e, d) → G