Dynamic Geometric Demonstration of Ceva's Theorem

2021-07-26 15:50
This example demonstrates Ceva's Theorem, which states that in triangle ABC, three cevians AD, BE, and CF drawn from vertices to opposite sides are concurrent if and only if (BD/DC)·(CE/EA)·(AF/FB) = 1. The GeoGebra applet dynamically constructs the triangle, intersection points, and segments, using vectors and ratio calculations to illustrate the geometric significance of the theorem. Users can d