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Triangle Classification Exploration

Triangle Classification Exploration
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2016-05-16 23:41
TriangleAngleGeometric Construction
In collections Triangle Theorems
This applet is used to explore the classification of triangles based on the relationship between the three side lengths. Key mathematical concepts include triangle classification, angle relationships, and side length relationships. Commands used include Circle, Intersect, Segment, Polygon, Textfield, Angle, PointIn, Distance, and more. Suitable for middle school and above students for geometric exploration.

GeoGebra Commands & Parameters

  1. Circle(A, a) → d
  2. Intersect(d, e) → B, C
  3. Circle(C, b) → f
  4. Segment(A, C) → g
  5. Circle(A, c) → k
  6. Intersect(k, f) → F, G, ,
  7. Segment(C, F) → h
  8. Segment(F, A) → i
  9. Polygon(A, C, F) → poly1, f_1, a_1, c_1
  10. Textfield(a) → InputBox1
  11. Textfield(b) → InputBox2
  12. Textfield(c) → InputBox3
  13. Angle(A, F, C) → α
  14. Angle(F, C, A) → β
  15. Angle(C, A, F) → γ
  16. Polygon(F, C, 4) → poly2, n, p, q, r, D, E
  17. Polygon(A, F, 4) → poly3, s, t, b_1, d_1, H, I
  18. Polygon(C, A, 4) → poly4, e_1, g_1, h_1, i_1, J, K
  19. PointIn(poly3) → Pointpoly3
  20. PointIn(poly2) → Pointpoly2
  21. PointIn(poly4) → Pointpoly4
  22. Distance(A, C) → distanceAC
  23. Distance(C, F) → distanceCF
  24. Distance(F, A) → distanceFA