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Demonstration of Triangle's Orthocenter by aquezada2017

Demonstration of Triangle's Orthocenter by aquezada2017
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2017-01-24 02:47
TriangleAngleGeometric Construction
This example demonstrates the geometric properties and construction method of a triangle's orthocenter. It involves core mathematical concepts such as perpendicular lines, intersection points, line segments, angles, and polygons. The construction utilizes GeoGebra commands like Polygon, OrthogonalLine, Intersect, Segment, and Angle. It is suitable for high school mathematics education to understand the geometric center of a triangle and its related properties.

GeoGebra Commands & Parameters

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