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rdearth orthocenter

rdearth orthocenter
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2017-12-01 03:18
TriangleCoordinate GeometryGeometric Construction
This example demonstrates the geometric properties and calculation methods of the orthocenter in a triangle. It involves core mathematical concepts such as orthogonal lines, midpoints, angles, slope differences, statistics, and quadratic functions. The construction utilizes GeoGebra commands and objects like polygon, angle, midpoint, and orthogonal line. Suitable for high school and above learners to understand geometric constructions and related concept applications.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C) → t1, c, a, b
  2. Polygon(D, E, F) → t2, f, d, e
  3. Polygon(G, H, I) → t3, i, g, h
  4. Angle(I, H, G) → α
  5. Midpoint(c) → J
  6. Midpoint(b) → K
  7. Midpoint(a) → L
  8. Midpoint(f) → M
  9. Midpoint(d) → N
  10. Midpoint(e) → O
  11. Midpoint(i) → P
  12. Midpoint(h) → Q
  13. Midpoint(g) → R
  14. OrthogonalLine(A, a) → j
  15. OrthogonalLine(C, c) → k
  16. OrthogonalLine(B, b) → l
  17. OrthogonalLine(D, d) → m
  18. OrthogonalLine(F, f) → n
  19. OrthogonalLine(E, e) → p
  20. OrthogonalLine(G, g) → q
  21. OrthogonalLine(I, q) → r
  22. OrthogonalLine(H, h) → s