The Orthocenter of a Triangle by mepetrescu

The Orthocenter of a Triangle by mepetrescu
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2015-01-10 20:01
This example demonstrates the orthocenter of a triangle, which is the point where the three altitudes of a triangle intersect. By constructing triangle ABC and using GeoGebra commands like Polygon and OrthogonalLine, the intersection point D, the orthocenter, is found. Suitable for middle school and above students to learn triangle geometry.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C) → poly1, c, a, b
  2. OrthogonalLine(A, a) → d
  3. OrthogonalLine(B, b) → e
  4. OrthogonalLine(C, c) → f
  5. Intersect(f, e) → D
  6. Intersect(e, b) → E
  7. Intersect(f, c) → F
  8. Intersect(d, a) → G
  9. Angle(A, E, D) → α
  10. Angle(C, G, D) → β
  11. Angle(B, F, D) → γ