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Exploring the Orthocenter of a Triangle by dcathey2018

Exploring the Orthocenter of a Triangle by dcathey2018
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2017-01-24 03:37
TriangleTrigonometryGeometric Construction
This example demonstrates the orthocenter of a triangle, which is the point where the three altitudes of a triangle intersect. Using GeoGebra commands such as Polygon, OrthogonalLine, and Intersect, one can dynamically explore the properties of the orthocenter. The example involves trigonometry and geometric construction. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

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