Demonstration of Barycentric Coordinates

This example demonstrates how to determine the barycentric coordinates of a point within a triangle. Key math concepts include barycentric coordinates, coordinate geometry, and systems of linear equations. Construction highlights using GeoGebra commands: Segment (line segments), objects A, B, C (vertices), f, g, h (auxiliary lines), D (point), λ_1, λ_2, λ_3 (barycentric coordinate parameters), d_v, a_v, b_v, c_v (vectors). Suitable for high school and above students studying coordinate geometry and barycentric coordinates, or for mathematical teaching demonstrations.