Demonstration of Triangle's Orthocenter by Haden123

Demonstration of Triangle's Orthocenter by Haden123
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2018-11-30 02:17
This example demonstrates how to construct the orthocenter of a triangle using GeoGebra, showcasing its relationship with vertices, sides, and altitudes. Core mathematical concepts include triangles, perpendicular lines, intersection points, distances, and geometric constructions. Key GeoGebra commands and objects used are Polygon, Midpoint, Line, Intersect, and Distance. Suitable for high school mathematics education and geometric learning, helping students visually understand the properties and construction methods of the orthocenter.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C) → t1, c, a, b
  2. Midpoint(A, C) → D
  3. Midpoint(A, B) → E
  4. Midpoint(B, C) → F
  5. Line(A, F) → f
  6. Line(C, E) → g
  7. Line(B, D) → h
  8. Intersect(g, h) → G
  9. Distance(G, A) → d
  10. Distance(G, F) → e
  11. Distance(G, C) → i
  12. Distance(G, E) → j
  13. Distance(G, B) → k
  14. Distance(G, D) → l