Orthocenter Triangle by 2019agreenberg

Orthocenter Triangle by 2019agreenberg
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2015-11-13 08:58
This example demonstrates the construction and properties of the orthocenter and its related orthic triangle of a triangle. Core mathematical concepts include orthocenter, 2D vectors, dilation, rotation, circumcircle, and frequency distribution. Construction highlights involve commands like Polygon, Line, OrthogonalLine, and Angle using GeoGebra objects A, B, C, poly1, c, a, b, d, e, f, g, h, i, α, β, γ. Suitable for high school mathematics teaching or exploration by geometry enthusiasts.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C) → poly1, c, a, b
  2. Line(A, C) → d
  3. Line(C, B) → e
  4. Line(B, A) → f
  5. OrthogonalLine(A, e) → g
  6. OrthogonalLine(B, b) → h
  7. OrthogonalLine(C, c) → i
  8. Angle(b, h) → α
  9. Angle(g, a) → β
  10. Angle(c, i) → γ