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Triangle Inequalities by Breanna Davis

Triangle Inequalities by Breanna Davis
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2017-12-02 05:17
TriangleInequalityGeometric Construction
This example demonstrates the triangle inequality theorem regarding side lengths. It involves core concepts like triangle inequalities and geometric construction. Constructed using GeoGebra commands such as Point, Segment, Distance, and Midpoint to verify a+b>c. Suitable for middle school and above learning geometric proofs and inequality applications.

GeoGebra Commands & Parameters

  1. Point(Circle[A, 10]) → B
  2. Segment(A, B) → f
  3. Point(Circle[C, 9]) → D
  4. Segment(C, D) → g
  5. Point(Circle[E, 5]) → F
  6. Segment(E, F) → h
  7. Point(Circle[G, 6.5]) → H
  8. Segment(G, H) → i
  9. Point(Circle[I, 3]) → J
  10. Segment(I, J) → j
  11. Point(Circle[K, 4.8]) → L
  12. Segment(K, L) → k
  13. Point(Circle[M, 7]) → N
  14. Segment(M, N) → l
  15. Point(Circle[O, 8.1]) → P
  16. Segment(O, P) → m
  17. Point(Circle[Q, 4]) → R
  18. Segment(Q, R) → n
  19. Point(Circle[S, 5]) → T
  20. Segment(S, T) → p
  21. Point(Circle[U, 2.6]) → V
  22. Segment(U, V) → q
  23. Point(Circle[W, 1.9]) → Z
  24. Segment(W, Z) → r
  25. Point(Circle[A_1, 3.3]) → B_1
  26. Segment(A_1, B_1) → s
  27. Point(Circle[C_1, 5.8]) → D_1
  28. Segment(C_1, D_1) → t
  29. Point(Circle[E_1, 5]) → F_1
  30. Segment(E_1, F_1) → a
  31. Point(Circle[G_1, 8.2]) → H_1
  32. Segment(G_1, H_1) → b
  33. Point(Circle[I_1, 10.1]) → J_1
  34. Segment(I_1, J_1) → c
  35. Point(Circle[K_1, 5.6]) → L_1
  36. Segment(K_1, L_1) → d
  37. Point(Circle[M_1, 4.5]) → N_1
  38. Segment(M_1, N_1) → e
  39. Point(Circle[O_1, 3.2]) → P_1
  40. Segment(O_1, P_1) → f_1
  41. Point(Circle[Q_1, 1.5]) → R_1
  42. Segment(Q_1, R_1) → g_1
  43. Point(Circle[S_1, 2]) → T_1
  44. Segment(S_1, T_1) → h_1
  45. Point(Circle[U_1, 4.6]) → V_1
  46. Segment(U_1, V_1) → i_1
  47. Point(Circle[W_1, 3.7]) → Z_1
  48. Segment(W_1, Z_1) → j_1
  49. Point(Circle[A_2, 4]) → B_2
  50. Segment(A_2, B_2) → k_1
  51. Distance(U_1, d) → distanceU1d
  52. Midpoint(U_1, ClosestPoint[d, U_1]) →