Investigation of Three Similar Triangles

GeoGebra Commands & Parameters

1. Rotate(A, 90°, B) → A'
2. Angle(A, B, A') → α
3. Segment(A, B) → a
4. Segment(B, A') → b
5. Ray(B, A') → c
6. Point(c) → C
7. Segment(A, C) → d
8. Segment(B, C) → e
9. OrthogonalLine(B, d) → f
10. Intersect(f, d) → D
11. Segment(D, B) → g
12. Segment(A, D) → h
13. Segment(C, D) → p
14. Polygon(C, D, B) → poly1, b_1, c_1, d_1
15. Polygon(A, D, B) → poly2, b_2, a_1, d_2
16. Segment(E, F) → j
17. Segment(G, H) → k
18. Segment(G_1, H_1) → k_1
19. Segment(G_2, H_2) → k_2
20. Segment(E_1, F_1) → j_1
21. Segment(E_2, F_2) → j_2
22. Segment(I, J) → l
23. Segment(E_3, F_3) → j_3
24. Segment(E_4, F_4) → j_4
25. Rotate(A_1, 90°, B_1) → A'_1
26. Angle(A_1, B_1, A'_1) → α_1
27. Segment(A_1, B_1) → a_2
28. Segment(B_1, A'_1) → b_3
29. Ray(B_1, A'_1) → c_2
30. Point(c_2) → C_1
31. Segment(A_1, C_1) → d_3
32. Segment(B_1, C_1) → e_1
33. Rotate(A_2, 90°, B_2) → A'_2
34. Angle(A_2, B_2, A'_2) → α_2
35. Segment(A_2, B_2) → a_3
36. Segment(B_2, A'_2) → b_4
37. Ray(B_2, A'_2) → c_3
38. Point(c_3) → C_2
39. Segment(A_2, C_2) → d_4
40. Segment(B_2, C_2) → e_2
41. Rotate(A_3, 90°, B_3) → A'_3
42. Angle(A_3, B_3, A'_3) → α_3
43. Segment(A_3, B_3) → a_4
44. Segment(B_3, A'_3) → b_5
45. Ray(B_3, A'_3) → c_4
46. Point(c_4) → C_3
47. Segment(A_3, C_3) → d_5
48. Segment(B_3, C_3) → e_3
49. Rotate(A_4, 90°, B_4) → A'_4
50. Angle(A_4, B_4, A'_4) → α_4
51. Segment(A_4, B_4) → a_5
52. Segment(B_4, A'_4) → b_6
53. Ray(B_4, A'_4) → c_5
54. Point(c_5) → C_4
55. Segment(A_4, C_4) → d_6
56. Segment(B_4, C_4) → e_4
57. Rotate(A_5, 90°, B_5) → A'_5
58. Angle(A_5, B_5, A'_5) → α_5
59. Segment(A_5, B_5) → a_6
60. Segment(B_5, A'_5) → b_7
61. Ray(B_5, A'_5) → c_6
62. Point(c_6) → C_5
63. Segment(A_5, C_5) → d_7
64. Segment(B_5, C_5) → e_5
65. Rotate(A_6, 90°, B_6) → A'_6
66. Angle(A_6, B_6, A'_6) → α_6
67. Segment(A_6, B_6) → a_7
68. Segment(B_6, A'_6) → b_8
69. Ray(B_6, A'_6) → c_7
70. Point(c_7) → C_6
71. Segment(A_6, C_6) → d_8
72. Segment(B_6, C_6) → e_6
73. Rotate(A_7, 90°, B_7) → A'_7
74. Angle(A_7, B_7, A'_7) → α_7
75. Segment(A_7, B_7) → a_8
76. Segment(B_7, A'_7) → b_9
77. Ray(B_7, A'_7) → c_8
78. Point(c_8) → C_7
79. Segment(A_7, C_7) → d_9
80. Segment(B_7, C_7) → e_7
81. Rotate(A_8, 90°, B_8) → A'_8
82. Angle(A_8, B_8, A'_8) → α_8
83. Segment(A_8, B_8) → a_9
84. Segment(B_8, A'_8) → b_{10}
85. Ray(B_8, A'_8) → c_9
86. Point(c_9) → C_8
87. Segment(A_8, C_8) → d_{10}
88. Segment(B_8, C_8) → e_8