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Orthocenter of a Triangle by Debra Schneider

Orthocenter of a Triangle by Debra Schneider
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2016-03-05 10:32
TriangleCoordinate GeometryGeometric 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, Line, Segment, Intersect, and Angle, a dynamic triangle can be constructed and the properties of the orthocenter can be observed. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Polygon(I, J, K) → poly3, k, i_1, j
  2. OrthogonalLine(I, i_1) → l
  3. Line(K, J) → m
  4. Segment(K, J) → a
  5. OrthogonalLine(I, i_1) → b
  6. OrthogonalLine(K, k) → c
  7. OrthogonalLine(J, j) → d
  8. Intersect(b, c) → X
  9. Intersect(b, i_1) → A
  10. Intersect(d, j) → B
  11. Intersect(c, k) → C
  12. Angle(J, C, X) → α
  13. Angle(X, B, K) → β
  14. Angle(X, A, J) → γ
  15. Segment(C, X) → e
  16. Segment(X, K) → f
  17. Segment(J, X) → g
  18. Segment(B, X) → h
  19. Segment(I, X) → i
  20. Segment(X, A) → n