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The Intersection of the Altitudes of a Triangle

The Intersection of the Altitudes of a Triangle
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2016-11-05 05:23
TriangleCoordinate GeometryGeometric Construction
This example demonstrates the intersection of the altitudes of a triangle. Key mathematical concepts include altitudes and their intersection point. Using GeoGebra commands such as Polygon, OrthogonalLine, Intersect, Line, and Angle, a dynamic triangle can be constructed and the intersection of its altitudes observed. Suitable for middle school and above students learning geometric constructions.

GeoGebra Commands & Parameters

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