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Altitude and Orthocenter Relationship

Altitude and Orthocenter Relationship
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2018-01-17 02:50
TriangleAngleGeometric Construction
This example demonstrates the relationship between altitudes and the orthocenter in a triangle. It involves core mathematical concepts such as altitudes, orthocenter, and triangle geometric properties. The construction uses GeoGebra commands like Polygon, Angle, OrthogonalLine, and Intersect. Suitable for high school mathematics teaching and geometric construction learning.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C) → t1, c, a, b
  2. Angle(t1) → α, β, γ
  3. OrthogonalLine(A, a) → f
  4. Intersect(f, t1) → D, E
  5. Angle(C, D, A) → δ
  6. OrthogonalLine(B, b) → g
  7. OrthogonalLine(C, c) → h
  8. Intersect(h, g) → Orthocenter
  9. Intersect(f, g) → G
  10. Intersect(f, c) → H