Isosceles Triangles and Parallelograms on a Triangle by Doug Kuhlmann

GeoGebra Commands & Parameters

1. Segment(B, C) → g
2. LineBisector(g) → p
3. Point(p) → F
4. Segment(C, C + (t4 * (F - C))) → r
5. Segment(A, B) → f
6. Midpoint(f) → J
7. Segment(C, A) → h
8. LineBisector(h) → l
9. Point(l) → E
10. Line(E, r) → m_1
11. Segment(C, C + (t3 * (E - C))) → n_2
12. Line(F, n_2) → n_1
13. Intersect(m_1, n_1) → I
14. Midpoint(I, C) → P
15. LineBisector(f) → i
16. Point(i) → D
17. Midpoint(h) → K
18. Segment(B, B + (t4 * (F - B))) → q
19. Line(D, q) → t
20. Segment(B, B + (t2 * (D - B))) → j
21. Line(F, j) → s
22. Intersect(s, t) → G
23. Midpoint(B, G) → O
24. Segment(A, A + (t2 * (D - A))) → k
25. Polygon(A, B, D) → poly1, d, a, b
26. Polygon(A, E, C) → poly2, c, a_1, e
27. Polygon(C, F, B) → poly3, b_1, c_1, f_1
28. Segment(A, A + (t3 * (E - A))) → m
29. Line(D, m) → i_1
30. Line(E, k) → j_1
31. Intersect(i_1, j_1) → H
32. Midpoint(g) → L
33. Segment(O, O + (t8 * (K - O))) → r_1
34. Segment(P, P + (t8 * (J - P))) → s_1
35. Intersect(r_1, s_1) → M
36. Midpoint(E, D) → N
37. Segment(D, D + (t5 * (G - D))) → h_1
38. Segment(F, F + (t5 * (G - F))) → g_1
39. Segment(F, F + (t6 * (I - F))) → p_1
40. Segment(E, E + (t6 * (I - E))) → q_1
41. Segment(D, D + (t7 * (H - D))) → l_1
42. Segment(E, E + (t7 * (H - E))) → k_1
43. Segment(N, N + (t8 * (L - N))) → t_1