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Orthocenter of an Obtuse Triangle

Orthocenter of an Obtuse Triangle
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2017-10-18 03:11
TriangleAngleGeometric Construction
This example demonstrates the orthocenter of an obtuse triangle and its properties. Key math concepts include orthocenter, obtuse triangle, and geometric construction. Construction highlights involve Polygon, Angle, OrthogonalLine, Intersect, Line, and Point commands in GeoGebra. Suitable for high school mathematics teaching and geometric construction learning.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C) → t1, c, a, b
  2. Angle(A, B, C) → α
  3. Angle(B, A, C) → β
  4. OrthogonalLine(A, a) → f
  5. OrthogonalLine(C, c) → g
  6. OrthogonalLine(B, b) → h
  7. Intersect(f, g) → Orthocenter
  8. Intersect(f, a) → E
  9. Angle(Orthocenter, E, C) → γ
  10. Line(A, B) → i
  11. Intersect(g, i) → D
  12. Point(i) → F
  13. Angle(F, D, C) → δ
  14. Line(A, C) → j
  15. Intersect(h, j) → G
  16. Angle(B, G, A) → ε