Demonstration of Orthocenter by John Sweeney

Demonstration of Orthocenter by John Sweeney
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2015-11-26 07:06
This example illustrates that the altitudes of a triangle are concurrent at the orthocenter. It covers core concepts like altitudes, concurrency, and triangle classification (equilateral, isosceles, scalene). Construction involves Polygon, OrthogonalLine, Intersect, Point, and Angle commands. Suitable for high school geometry education or self-learning to understand orthocenter properties and triangle geometry relations.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C) → poly1, c, a, b
  2. OrthogonalLine(A, a) → d
  3. OrthogonalLine(C, c) → e
  4. OrthogonalLine(B, b) → f
  5. Intersect(e, f) → O
  6. Point(e) → F
  7. Intersect(d, a) → G
  8. Intersect(b, e) → H
  9. Intersect(f, b) → I
  10. Intersect(e, c) → J
  11. Angle(c, e) → α
  12. Angle(f, b) → β
  13. Angle(d, a) → γ