Exploring Special Points of a Triangle
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This example demonstrates special points of a triangle, including the incenter, centroid, circumcenter, and orthocenter. Using GeoGebra commands such as TriangleCenter and Trilinear, dynamic observations of these points' positions can be made. The construction summary mentions the use of TriangleCenter, Unique, Length, PolyLine, and Trilinear commands. Suitable for high school mathematics education and learning.
GeoGebra Commands & Parameters
TriangleCenter(A, B, C, n) → DUnique(RemoveUndefined[L_{01}]) → L_{01u}Length(L_{01}) → length_{01}Length(L_{01u}) → length_{01u}PolyLine(A, B, C, A) → fTrilinear(A, B, C, n_A, n_B, n_C) → T_1Trilinear(A, B, C, cos(n_A), cos(n_B), cos(n_C)) → T_2Last(L_{01u}, n) → L_{01-last}