Altitudes & Orthocenter
Loading the math board and drawing, please wait…
In collections
Points of Concurrency in a Triangle
This example demonstrates the three altitudes of a triangle and their intersection point, the orthocenter. It involves core mathematical concepts like altitudes, orthocenter, geometric construction, and angle relationships. The construction uses GeoGebra commands: Polygon, OrthogonalLine, Intersect, and Angle. Suitable for high school mathematics education or for geometry enthusiasts to understand basic triangle properties and construction techniques.
GeoGebra Commands & Parameters
Polygon(A, B, C) → t1, c, a, bOrthogonalLine(A, a) → fOrthogonalLine(B, b) → gOrthogonalLine(C, c) → hIntersect(f, g) → DAngle(a, f) → αAngle(b, g) → βAngle(c, h) → γ