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Concurrency Point of Altitudes in a Triangle

Concurrency Point of Altitudes in a Triangle
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2015-12-07 06:35
TriangleAngleGeometric Construction
This example demonstrates the orthocenter of a triangle, the point where the altitudes intersect. Students can use commands like Polygon, OrthogonalLine, Ray, Intersect, and Angle to construct the altitudes and explore the orthocenter. Suitable for middle school and above students learning triangle geometry.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C) → poly1, c, a, b
  2. OrthogonalLine(B, b) → d
  3. OrthogonalLine(C, c) → e
  4. OrthogonalLine(A, a) → f
  5. Ray(A, B) → g
  6. Ray(C, B) → h
  7. Intersect(e, g) → D
  8. Intersect(f, h) → E
  9. Intersect(d, b) → F
  10. Angle(C, D, A) → α
  11. Angle(B, F, C) → β
  12. Angle(A, E, B) → γ
  13. Intersect(d, e) → G