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Concurrency at C Orthocenter

Concurrency at C Orthocenter
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2018-03-28 05:25
TriangleCoordinate GeometryGeometric Construction
This example demonstrates the concurrency property at the orthocenter of a triangle. Key concepts include the orthocenter, integers, algebra, sine function, and line segments. Using GeoGebra commands such as Polygon, OrthogonalLine, Intersect, Segment, and Angle, the orthocenter can be constructed. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C) → t1, c, a, b
  2. OrthogonalLine(B, b) → f
  3. OrthogonalLine(A, a) → g
  4. OrthogonalLine(C, c) → h
  5. Intersect(h, c) → D
  6. Segment(D, C) → i
  7. Intersect(g, a) → E
  8. Segment(A, E) → j
  9. Intersect(f, b) → F
  10. Segment(B, F) → k
  11. Angle(C, A, B) → α
  12. Angle(A, B, C) → β
  13. Angle(B, C, A) → γ