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Incircle of a Triangle by Timur Kapitsa

Incircle of a Triangle by Timur Kapitsa
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2019-03-29 10:08
TriangleCircleGeometric Construction
This example demonstrates how to draw the incircle of a triangle. Key math concepts include triangle, incircle, angle bisector, intersection, circle, and segment. Construction highlights involve commands like Polygon, LineBisector, Intersect, Circle, Segment, and Point in GeoGebra. Suitable for high school geometry teaching or for learners interested in geometric constructions.

GeoGebra Commands & Parameters

  1. Polygon(A, B, 3) → poly1, f, g, h, C
  2. LineBisector(A, C) → i
  3. LineBisector(C, B) → j
  4. LineBisector(A, B) → k
  5. Intersect(i, j) → D
  6. Intersect(j, g) → F
  7. Circle(D, F) → c
  8. Segment(D, B) → m
  9. Segment(D, A) → n
  10. Intersect(c, m, 1) → H
  11. Intersect(c, n, 1) → I
  12. Polygon(I, H, 3) → poly2, s, t, a, K
  13. Intersect(c, h, 1) → E
  14. Intersect(c, f, 1) → G
  15. Segment(D, G) → l
  16. Intersect(s, l) → J
  17. Circle(D, J) → d
  18. Intersect(d, t, 1) → L
  19. Intersect(d, a, 1) → M
  20. Point(d) → N
  21. Segment(D, N) → p
  22. Point(d) → O
  23. Segment(O, C) → q
  24. Segment(O, A) → r
  25. Segment(O, B) → b