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Kubinek-Orthocenter

Kubinek-Orthocenter
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2014-12-17 22:56
TriangleCoordinate GeometryGeometric Construction
This example demonstrates the construction of Kubinek-Orthocenter. The orthocenter is the point where the three altitudes of a triangle intersect. Using GeoGebra commands such as Polygon, OrthogonalLine, Angle, and Midpoint, the properties of the orthocenter are clearly illustrated. Suitable for high school geometry learners and educators.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C) → poly1, c, a, b
  2. OrthogonalLine(A, a) → d
  3. Angle(a, d) → α
  4. Midpoint(c) → D
  5. Midpoint(a) → E
  6. Midpoint(b) → F

AI Drawing Prompt Reference

Draw a triangle ABC, then construct the altitudes from each vertex to the opposite side, and find their intersection point, which is the orthocenter of the triangle. First, draw the triangle, then construct the first altitude, measure the angle, and finally locate the orthocenter.
The prompt above was compiled from the original drawing commands and is for reference only.