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Demonstration of Orthocenter by dane.ehlert

Demonstration of Orthocenter by dane.ehlert
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2018-01-12 01:28
TriangleAngleGeometric Construction
This example demonstrates the geometric properties and construction method of the orthocenter in a triangle. Key math concepts include perpendicular lines, intersection points, orthogonal lines, line segments, and angles. Construction highlights are derived from GeoGebra commands: Polygon, Line, Intersect, OrthogonalLine, Segment, and Angle. Suitable for high school mathematics teaching or for geometry enthusiasts to learn.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C) → t1, c, a, b
  2. Line(C, A) → k
  3. Line(A, B) → l
  4. Line(B, C) → m
  5. Intersect(m, a) → E
  6. OrthogonalLine(C, c) → f
  7. OrthogonalLine(B, b) → g
  8. OrthogonalLine(A, a) → h
  9. Intersect(g, h) → D
  10. Intersect(l, c) → F
  11. Intersect(l, c) → G
  12. Intersect(l, f) → H
  13. Intersect(k, g) → I
  14. Intersect(m, h) → J
  15. Segment(B, I) → i
  16. Segment(H, C) → j
  17. Segment(J, A) → n
  18. Angle(C, J, D) → α
  19. Angle(B, H, C) → β
  20. Angle(A, I, B) → γ