Exploring the Area of a Triangle by user1917

GeoGebra Commands & Parameters

1. Line(A_1, B_1) → a
2. Point(a) → C
3. OrthogonalLine(C, a) → b
4. Point(b) → D
5. OrthogonalLine(D, b) → c
6. Intersect(a, xAxis) → B
7. Intersect(c, xAxis) → A
8. Segment(C, D) → d
9. Point(d) → G
10. Polygon(B, G, A) → poly1, f, e, g
11. Midpoint(C, B) → H
12. Midpoint(D, A) → I
13. Segment(H, I) → h
14. Intersect(f, h) → J
15. Intersect(e, h) → N
16. OrthogonalLine(G, d) → i
17. Intersect(i, h) → L
18. Segment(G, L) → j
19. Polygon(J, G, L) → poly2, l, j_1, g_1
20. Polygon(L, G, N) → poly3, k, l_1, g_2
21. Segment(G, A) → m
22. Polygon(B, J, N, A) → poly4, e_1, j_2, k_1, f_1
23. Circle(M_1, 1) → p
24. Point(p) → N_1
25. Segment(M_1, N_1) → n
26. Point(p) → O
27. Segment(M_1, O) → q
28. Angle(N_1, M_1, O) → γ
29. Rotate(J, γ, J) → M
30. Rotate(G, γ, J) → G'_2
31. Rotate(L, γ, J) → L'_2
32. Polygon(M, G'_2, L'_2) → poly2'_1, l'_2, j'_1, g'_2
33. Circle(P, 1) → r
34. Point(r) → Q
35. Point(r) → R
36. Angle(R, P, Q) → δ
37. Segment(Q, P) → s
38. Segment(P, R) → t
39. Rotate(N, δ, N) → K'
40. Rotate(L, -δ, N) → L'_1
41. Rotate(G, -δ, N) → G'_1
42. Rotate(N, -δ, N) → K'_1
43. Polygon(L'_1, G'_1, K'_1) → poly3'_1, k'_1, l'_1, g'_1
44. Polygon(J, G, L) → poly5, l_2, j_3, g_3
45. Polygon(G, L, N) → poly6, k_2, g_4, l_3
46. Polygon(B, C, D, A) → poly7, e_2, c_1, d_1, f_2
47. Point(j) → S
48. Point(h) → T
49. Polygon(S, L, 4) → poly8, a_1, b_1, h_1, i_1, U, V
50. Point(h) → K
51. Polygon(G, K, M) → poly9, m_1, g_5, k_3
52. Point(h) → Z
53. Polygon(G, Z, N) → poly10, n_1, g_6, z