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Construct a Triangle from Altitudes

Construct a Triangle from Altitudes
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2016-04-01 06:20
TriangleCircleGeometric Construction
In collections Functions on the Domain of Space - Polygons
This example demonstrates how to construct a triangle using its three altitudes. Key math concepts include altitudes, orthocenter, and triangle construction. GeoGebra commands used are Line, Circle, Intersect, OrthogonalLine, and Segment. Suitable for high school geometry teaching or construction practice.

GeoGebra Commands & Parameters

  1. Line(B, A) → a
  2. Line(R, A) → b
  3. Line(G, A) → c
  4. Circle(B, Balt) → d
  5. Intersect(d, a) → E, F
  6. OrthogonalLine(F, a) → e
  7. Segment(B, F) → f
  8. Circle(R, Calt) → g
  9. Intersect(g, b) → G_1, H
  10. OrthogonalLine(H, b) → h
  11. Segment(R, H) → i
  12. Circle(G, Dalt) → k
  13. Circle(G, Dalt) → p
  14. Intersect(p, c) → C, I
  15. Segment(G, I) → j
  16. OrthogonalLine(I, j) → l