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Altitudes and Orthocenter in a Triangle

Altitudes and Orthocenter in a Triangle
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2017-11-22 00:25
TriangleAngleGeometric Construction
This example demonstrates the three altitudes of a triangle and their intersection point, the orthocenter. Key math concepts include altitudes, orthocenter, perpendicular lines, angles, and scalene triangles. It is constructed using commands like Segment, OrthogonalLine, Line, and Intersect in GeoGebra. Suitable for high school geometry education or for enthusiasts studying geometric properties.

GeoGebra Commands & Parameters

  1. Segment(A, B) → f
  2. Segment(B, C) → g
  3. Segment(A, C) → h
  4. OrthogonalLine(B, h) → i
  5. Line(C, A) → j
  6. Intersect(i, j) → D
  7. Segment(B, D) → k
  8. OrthogonalLine(C, f) → l
  9. OrthogonalLine(A, g) → m
  10. Intersect(l, f) → E
  11. Intersect(m, g) → F
  12. Segment(C, E) → n
  13. Segment(A, F) → p
  14. Line(B, D) → q
  15. Line(A, F) → r
  16. Intersect(q, r) → G
  17. OrthogonalLine(C, f) → s