Geometric Mean in Right Triangles

GeoGebra Commands & Parameters

1. Line(A, C) → a
2. Semicircle(A, C) → c
3. Point(c) → D
4. Angle(A, D, C) → α
5. OrthogonalLine(D, a) → e
6. Intersect(a, e) → B
7. Angle(C, B, D) → β
8. OrthogonalLine(A, a) → l
9. OrthogonalLine(C, a) → m
10. Point(l) → E
11. Circle(A, Segment[A, E]) → p
12. Circle(C, Radius[p]) → q
13. Intersect(q, m, 1) → F
14. Segment(E, F) → n
15. Circle(E, Segment[E, A]) → k
16. Circle(F, Radius[k]) → r
17. Intersect(k, l, 1) → G
18. Intersect(r, m, 1) → H
19. Segment(D, A) → b
20. Segment(D, C) → d
21. Segment(D, C) → f
22. Segment(D, A) → h
23. Segment(D, B) → g
24. Segment(A, C) → i
25. Segment(A, B) → s
26. Segment(B, C) → t
27. Segment(D, B) → a_1
28. Line(I, J) → b_1
29. Circle(I, Segment[B, D]) → c_1
30. Intersect(c_1, b_1, 2) → K
31. Circle(I, Segment[B, A]) → d_1
32. Circle(K, Segment[A, D]) → e_1
33. Intersect(d_1, e_1, 1) → L
34. Segment(I, K) → g_1
35. Angle(K, I, L) → γ
36. Point(b_1) → M
37. Circle(M, Segment[B, C]) → k_1
38. Intersect(k_1, b_1, 2) → N
39. Circle(M, Segment[B, D]) → p_1
40. Circle(N, Segment[C, D]) → q_1
41. Intersect(p_1, q_1, 1) → O
42. Segment(O, M) → i_1
43. Segment(M, N) → j_1
44. Angle(N, M, O) → δ
45. Point(b_1) → P
46. Circle(P, Segment[D, C]) → r_1
47. Intersect(r_1, b_1, 2) → Q
48. Segment(P, Q) → m_1
49. Circle(P, Segment[D, A]) → s_1
50. Circle(Q, Segment[C, A]) → t_1
51. Intersect(s_1, t_1, 1) → R
52. Segment(P, R) → n_1
53. Angle(Q, P, R) → ε
54. Segment(I, L) → b_2
55. Segment(L, K) → c_2
56. Segment(K, I) → d_2
57. Segment(O, M) → e_2
58. Segment(M, N) → f_2
59. Segment(N, O) → g_2
60. Segment(R, P) → h_2
61. Segment(P, Q) → i_2
62. Segment(Q, R) → j_2
63. Segment(L, K) → h_1
64. Segment(L, I) → f_1
65. Segment(O, M) → k_2
66. Segment(O, N) → l_1
67. Angle(D, B, A) → ζ
68. Angle(D, C, B) → η
69. Angle(R, Q, P) → θ
70. Angle(O, N, M) → ι
71. Angle(B, A, D) → κ
72. Angle(I, L, K) → μ
73. Angle(P, R, Q) → λ
74. Circle(R, Segment[A, B]) → p_2
75. Segment(R, Q) → a_2