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Build Your Own Right Triangular Prism

Build Your Own Right Triangular Prism
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2019-07-01 21:43
TriangleSolid GeometryGeometric Construction
This example demonstrates how to construct a right triangular prism. Key mathematical concepts include the properties and construction methods of right triangles in solid geometry. Using GeoGebra commands such as Line, Sphere, Segment, and Intersect, you can dynamically adjust the height and side lengths of the triangular base. Suitable for middle school and above students or teachers for teaching and learning.

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

Construct a right triangular prism. First, draw the right triangle base, then extend the right triangle vertically along the base to form the right triangular prism. Draw the three sides of the base triangle, then draw a line perpendicular to the base to form the right triangle. Next, extend the right triangle along the base to form the prism's side faces. Finally, connect the vertices to the corresponding points on the base to complete the right triangular prism.
The prompt above was compiled from the original drawing commands and is for reference only.