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Triangle Orthocenter Remake

Triangle Orthocenter Remake
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2016-10-20 09:48
TriangleCoordinate GeometryGeometric Construction
This example demonstrates the orthocenter of a triangle, which is the point where the three altitudes of a triangle intersect. Using GeoGebra commands such as Polygon, Ray, Point, Line, OrthogonalLine, and Intersect, the dynamic properties of the orthocenter can be shown. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C) → poly1, c, a, b
  2. Ray(A, C) → f
  3. Point(f) → D
  4. Point(a) → E
  5. Line(C, E) → g
  6. Point(c) → F
  7. OrthogonalLine(B, f) → h
  8. OrthogonalLine(C, c) → i
  9. OrthogonalLine(A, a) → j
  10. Intersect(h, f) → G
  11. Intersect(g, j) → H
  12. Intersect(i, c) → I
  13. Angle(D, G, B) → α
  14. Angle(C, I, F) → β
  15. Angle(C, H, A) → γ
  16. Intersect(h, i) → J

AI Drawing Prompt Reference

Draw a triangle and show its three altitudes, which are perpendicular from each vertex to the opposite side. The intersection of these altitudes is the orthocenter. Start by drawing the triangle, then draw the altitudes from each vertex to the opposite side, and finally mark the orthocenter and display the three angles formed between each vertex and the orthocenter.
The prompt above was compiled from the original drawing commands and is for reference only.