Altitudes & Orthocenter

Altitudes & Orthocenter
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2017-09-25 12:36
This example demonstrates the three altitudes of a triangle and their intersection point, the orthocenter. It involves core mathematical concepts like altitudes, orthocenter, geometric construction, and angle relationships. The construction uses GeoGebra commands: Polygon, OrthogonalLine, Intersect, and Angle. Suitable for high school mathematics education or for geometry enthusiasts to understand basic triangle properties and construction techniques.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C) → t1, c, a, b
  2. OrthogonalLine(A, a) → f
  3. OrthogonalLine(B, b) → g
  4. OrthogonalLine(C, c) → h
  5. Intersect(f, g) → D
  6. Angle(a, f) → α
  7. Angle(b, g) → β
  8. Angle(c, h) → γ