Demonstration of Triangle's Orthocenter

Demonstration of Triangle's Orthocenter
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2019-12-11 03:14
This example demonstrates the geometric properties and construction method of a triangle's orthocenter. Key math concepts include perpendicular lines, intersection points, midpoints, parametric equations, and analytical geometry. The construction utilizes GeoGebra commands and objects such as Polygon, Midpoint, Segment, Intersect, and OrthogonalLine, as outlined in the summary. Suitable for high school and above students to understand the orthocenter, geometric constructions, and applications of parametric equations.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C) → t1, c, a, b
  2. Midpoint(C, B) → D
  3. Midpoint(C, A) → E
  4. Midpoint(B, A) → F
  5. Segment(C, F) → f
  6. Segment(B, E) → g
  7. Segment(A, D) → h
  8. Intersect(f, g) → G
  9. OrthogonalLine(A, a) → i
  10. OrthogonalLine(C, c) → j
  11. OrthogonalLine(B, b) → k