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Triangle Heights

Triangle Heights
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2018-06-05 22:18
TriangleAngleGeometric Construction
This example demonstrates the altitudes of a triangle. It involves the geometric properties of triangles, particularly the concept of altitudes. Using GeoGebra commands such as Polygon, OrthogonalLine, Intersect, Segment, Angle, and Line, the altitudes of a triangle can be constructed. Suitable for middle school and above students to learn about triangle properties and geometric construction.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C) → t1, c, a, b
  2. OrthogonalLine(B, b) → f
  3. OrthogonalLine(C, c) → g
  4. OrthogonalLine(A, a) → h
  5. Intersect(h, a) → D
  6. Segment(A, D) → i
  7. Angle(A, D, C) → α
  8. Line(A, C) → j
  9. Intersect(f, j) → E
  10. Segment(B, E) → k
  11. Angle(A, E, B) → β
  12. Line(B, A) → l
  13. Intersect(g, l) → F
  14. Angle(C, F, A) → γ