Centroid Demonstration by Josh Rollins
Loading the math board and drawing, please wait…
In collections
Centers of Triangles
This example demonstrates how to construct the centroid of a shape by using segments, midpoints, and intersection points. It involves core mathematical concepts such as conditional probability, step functions, complex numbers, coordinate geometry, and piecewise functions. The construction utilizes GeoGebra commands/objects like Segment, Midpoint, Intersect, and Distance. Suitable for high school and above mathematics learners to understand geometric constructions and centroid calculations.
GeoGebra Commands & Parameters
Segment(A, B) → fSegment(B, C) → gSegment(C, A) → hMidpoint(f) → DMidpoint(h) → EMidpoint(g) → FSegment(D, C) → iSegment(E, B) → jSegment(F, A) → kIntersect(i, j) → GDistance(B, G) → distanceBGDistance(A, G) → distanceAGDistance(C, G) → distanceCGDistance(D, G) → distanceDGDistance(F, G) → distanceFGDistance(E, G) → distanceEGDistance(G, E) → distanceGEDistance(E, G) → a