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Orthocenter of a Triangle by richmondr20

Orthocenter of a Triangle by richmondr20
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2016-10-27 07:51
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, Line, OrthogonalLine, Intersect, and Segment, the construction of a triangle and its orthocenter is illustrated. Suitable for students at the middle school level and above.

GeoGebra Commands & Parameters

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