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Orthocenter Construction Correction

Orthocenter Construction Correction
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2016-10-21 19:39
TriangleAngleGeometric Construction
This example demonstrates the precise construction of a triangle's orthocenter in GeoGebra, highlighting its geometric properties. Core math concepts include perpendicular lines, angles, intersections, and polygon construction. The construction uses commands like Polygon, OrthogonalLine, Intersect, Angle, Line, and Circle, as outlined in the summary. Suitable for high school mathematics education to understand geometric properties and construction techniques.

GeoGebra Commands & Parameters

  1. Polygon(B, C, A) → poly1, a, b, c
  2. OrthogonalLine(B, b) → f
  3. OrthogonalLine(C, c) → g
  4. OrthogonalLine(A, a) → h
  5. Intersect(f, b) → D
  6. Angle(b, f) → α
  7. Line(C, B) → i
  8. Intersect(h, i) → E
  9. Angle(B, E, A) → β
  10. Intersect(f, g) → orthocenter
  11. Line(A, B) → j
  12. Intersect(g, j) → F
  13. Angle(C, F, B) → γ
  14. Angle(C, B, A) → δ
  15. Circle(A, D) → d
  16. Circle(B, E) → e
  17. Circle(C, F) → k
  18. Circle(D, B) → p