Demonstration of the Orthocenter

This example demonstrates how to construct the orthocenter of a triangle and its related properties using GeoGebra. The math concepts involved include the orthocenter, similar triangles, linear equations, logarithms, differential calculus, and the Pythagorean theorem. The construction highlights the use of commands like Polygon, OrthogonalLine, and Intersect, along with objects such as points and lines. It is suitable for high school and above students to understand the orthocenter theorem and geometric constructions.