Rectangle with Given Sum of Sides and Diagonal Angle

GeoGebra Commands & Parameters

1. Segment(F, G) → T
2. Segment(N, O) → g
3. Segment(N, P) → g_1
4. Angle(P, N, O) → α
5. Ray(A, B) → i
6. Point(i) → A_1
7. Rotate(A_1, α, A) → B'
8. Angle(B, A, B') → γ
9. Ray(A, B') → h
10. Circle(B', A) → c
11. Intersect(c, h, 2) → D
12. OrthogonalLine(D, i) → j
13. Intersect(j, i) → E
14. Segment(D, E) → n
15. Segment(A, E) → k
16. Segment(A, D) → p
17. Polygon(D, A, E) → poly1, e_1, d_1, a
18. Line(E, B') → h_1
19. Intersect(c, h_1, 2) → C
20. Polygon(D, C, A, E) → poly3, d_2, c_1, a_2, e_2
21. Angle(D, E, A) → β
22. Circle(D, E) → d
23. Intersect(d, h, 2) → H
24. Segment(D, H) → l
25. Circle(H, k) → e
26. Intersect(e, h, 2) → I
27. Segment(H, I) → m
28. Circle(A, T) → r
29. Intersect(r, p, 1) → Z
30. Intersect(h, p) → Q
31. Intersect(h, p) → R
32. Segment(I, E) → i_1
33. Intersect(h, p) → S
34. Intersect(h, p) → U
35. Intersect(h, p) → V
36. Intersect(h, p) → W
37. Intersect(r, h) → J,
38. Segment(J, A) → f
39. Segment(I, E) → q
40. Line(J, q) → s
41. Intersect(s, i) → K
42. OrthogonalLine(K, k) → t
43. Intersect(t, h) → L
44. Line(L, k) → b
45. OrthogonalLine(A, b) → f_1
46. Intersect(f_1, b) → M
47. Polygon(L, M, A, K) → poly2, l_1, m_1, a_1, k_1