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Exploring Right Triangles by Matt

Exploring Right Triangles by Matt
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2016-03-04 21:55
TriangleCoordinate GeometryGeometric Construction
This example demonstrates the properties of right triangles. Key mathematical concepts include the definition of right triangles, Pythagorean theorem, and the perimeter of a triangle. Using GeoGebra commands such as Intersect, Segment, and OrthogonalLine, students can visually understand the construction process of right triangles. Suitable for middle school and above students to learn about right triangles.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → A
  2. Segment(A, B) → a
  3. OrthogonalLine(B, a) → d
  4. Rotate(B, 15°, A) → B'
  5. Angle(B, A, B') → α
  6. Line(A, B') → e
  7. Intersect(d, e) → C
  8. Segment(A, C) → f
  9. Segment(C, B) → g
  10. Angle(C, B, A) → β
  11. Rotate(B, 30°, A) → B'_1
  12. Angle(B, A, B'_1) → γ
  13. Line(A, B'_1) → h
  14. Intersect(d, h) → D
  15. Segment(A, D) → i
  16. Segment(D, B) → j
  17. Rotate(B, 40°, A) → B'_2
  18. Angle(B, A, B'_2) → δ
  19. Line(A, B'_2) → l
  20. Intersect(d, l) → E
  21. Segment(A, E) → m
  22. Segment(E, B) → n
  23. Rotate(B, 45°, A) → B'_3
  24. Angle(B, A, B'_3) → ε
  25. Line(A, B'_3) → p
  26. Intersect(d, p) → F
  27. Segment(A, F) → q
  28. Segment(F, B) → r
  29. Rotate(B, 60°, A) → B'_4
  30. Angle(B, A, B'_4) → ζ
  31. Line(A, B'_4) → t
  32. Intersect(d, t) → G
  33. Segment(A, G) → a_1
  34. Segment(G, B) → b_1
  35. Rotate(B, 75°, A) → B'_5
  36. Angle(B, A, B'_5) → η
  37. Line(A, B'_5) → c_1
  38. Intersect(d, c_1) → H
  39. Segment(H, B) → d_1
  40. Segment(A, H) → e_1
  41. Rotate(B, 60°, A) → B'_6
  42. Line(A, B'_6) → f_1
  43. Rotate(B, 50°, A) → B'_7
  44. Angle(B, A, B'_7) → θ
  45. Line(A, B'_7) → g_1
  46. Intersect(d, g_1) → I
  47. Segment(I, B) → h_1
  48. Segment(I, A) → i_1