Build Your Own Right Triangular Prism (V2) by Ms. Orr

Build Your Own Right Triangular Prism (V2) by Ms. Orr
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2020-05-09 00:57
This example demonstrates how to construct a right triangular prism using GeoGebra. It involves core mathematical concepts such as solid geometry, polygon construction, and angle calculations. Key GeoGebra commands and objects used include Line, Sphere, Segment, Intersect, Polygon, Circle, OrthogonalLine, Angle, and Textfield for geometric construction and parameterization. Suitable for high school students and above for exploring geometric solids.

GeoGebra Commands & Parameters

  1. Line((0, 0, triangleheight), (1, 0, triangleheight)) → f
  2. Sphere(A, oneside) → a
  3. Segment(B, A) → j
  4. Intersect(f, a) → C, D
  5. Polygon(A, C, B) → t1, b_1, a_1, c
  6. Polygon(A, D, B) → t2, b_2, a_2, d
  7. Segment(A, C) → g
  8. Segment(C, B) → i
  9. Line(A, (0, 1, 0)) → k
  10. Line(B, (b, 1, 0)) → l
  11. Sphere(B, prismheight) → m
  12. Sphere(A, prismheight) → e
  13. Intersect(k, e) → E, F
  14. Intersect(l, m) → G, H
  15. Line((x(C), y(C) + 1, z(C)), C) → n
  16. Sphere(C, prismheight) → o
  17. Intersect(n, o) → I, J
  18. Polygon(H, F, I) → t3, i_1, h_1, f_1
  19. Segment(H, F) → p
  20. Segment(F, I) → q
  21. Segment(I, H) → r
  22. Line((x(D), y(D) + 1, z(D)), D) → t
  23. Sphere(D, prismheight) → u
  24. Intersect(t, u) → K, L
  25. Polygon(A, F, I, C) → q1, a_3, f_2, i_2, c_1
  26. Polygon(I, H, B, C) → q2, i_3, h_2, b_3, c_2
  27. Polygon(A, B, H, F) → q3, a_4, b_4, h_3, f_3
  28. Segment(C, I) → g_1
  29. Segment(B, H) → j_1
  30. Segment(A, F) → k_1
  31. Polygon(A, B, D) → t4, d_2, a_5, b_5
  32. Polygon(F, H, K) → t5, k_2, f_4, h_4
  33. Polygon(A, F, K, D) → q4, a_6, f_5, k_3, d_3
  34. Polygon(D, K, H, B) → q5, d_4, k_4, h_5, b_6
  35. Segment(A, D) → l_1
  36. Segment(D, B) → m_1
  37. Segment(D, K) → n_1
  38. Segment(K, F) → p_1
  39. Segment(K, H) → q_1
  40. Circle(((0.3 * j), 0, 0), ((-0.3 * j), 0, 0), (0, 0, (0.3 * j))) → r_1
  41. Line(A, B) → s_1
  42. OrthogonalLine(C, s_1, space) → t_1
  43. OrthogonalLine(D, s_1, space) → g_2
  44. Intersect(s_1, t_1) → M
  45. Intersect(s_1, g_2) → N
  46. Angle(A, M, C) → α
  47. Angle(A, N, D) → β
  48. Segment(C, M) → j_2
  49. Segment(D, N) → l_2
  50. Angle(B, A, D) → γ
  51. Angle(B, A, C) → δ
  52. Textfield(prismheight) → InputBox1
  53. Textfield(b) → InputBox2
  54. Textfield(triangleheight) → InputBox3
  55. Textfield(oneside) → InputBox4

AI Drawing Prompt Reference

Draw a right triangular prism by first constructing a triangular base using line segments and arcs, then extend upward to form the lateral faces, ensuring they are perpendicular to the base. Connect the top vertices to complete the prism, highlighting key angles and geometric relationships to showcase its 3D structure.
The prompt above was compiled from the original drawing commands and is for reference only.