Orthocenter and Equilateral Triangle Construction

This example demonstrates the construction of a triangle's orthocenter, altitudes, and an equilateral triangle using GeoGebra. Key math concepts include orthocenter, coordinate geometry, properties of equilateral triangles, and angle measurement. The construction involves commands and objects like Polygon, OrthogonalLine, Intersect, Segment, and Angle as detailed in the summary. Suitable for high school mathematics education to understand special points and geometric properties of triangles.