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Studies on Incircles

Studies on Incircles
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2017-04-10 16:42
CirclePolygonTrigonometryProbability & StatisticsGeometric Construction
This example demonstrates the construction and properties of incircles in polygons, involving core math concepts like polygons, isosceles triangles, probability & statistics, binomial distribution, and real numbers. It is constructed using GeoGebra commands such as Polygon, Line, Intersect, OrthogonalLine, Circle, Segment, and Point, making it suitable for high school and above learners exploring geometric constructions and probability applications.

GeoGebra Commands & Parameters

  1. Polygon(A, B, 4) → poly1, a, b, c, d, C, D
  2. Line(D, B) → e
  3. Line(A, C) → f
  4. Intersect(e, f) → E
  5. OrthogonalLine(E, c) → g
  6. OrthogonalLine(E, d) → h
  7. Intersect(h, d) → F
  8. Intersect(g, c) → G
  9. Intersect(h, b) → H
  10. Intersect(g, a) → I
  11. Circle(E, H) → p
  12. Segment(E, H) → R
  13. Point(p) → J
  14. Segment(J, D) → i
  15. Segment(J, A) → j
  16. Segment(J, B) → k
  17. Segment(J, C) → l
  18. Segment(K, L) → m