MathPlotAI Logo MathPlotAI

Triangle Properties Based on Sides

Triangle Properties Based on Sides
Loading the math board and drawing, please wait…
2017-12-11 13:43
TriangleTrigonometryGeometric Construction
In collections Mathematics Form 1
This example demonstrates the properties of triangles classified by their side lengths. It involves core mathematical concepts such as triangle classification (scalene, isosceles, equilateral), side relationships, angle relationships, the cosine theorem, rotation, and similarity transformations. The construction utilizes GeoGebra commands and objects like Segment, Circle, Intersect, LineBisector, Point, Distance, Polygon, Angle, SelectedIndex, and If. It is suitable for high school mathematics education, exploring and verifying theorems and properties of triangle classification, and deepening the understanding of geometric transformations.

GeoGebra Commands & Parameters

  1. Segment(A, B) → a
  2. Circle(A, B) → c
  3. Circle(B, A) → d
  4. Intersect(c, d, 1) → C
  5. Segment(C, A) → b
  6. Segment(C, B) → e
  7. Segment(D, E) → f
  8. LineBisector(D, E) → g
  9. Point(g) → F
  10. Segment(F, D) → h
  11. Segment(F, E) → i
  12. Segment(H, G) → j
  13. Segment(H, I) → k
  14. Segment(I, G) → l
  15. Distance(A, B) → AB
  16. Distance(B, C) → BC
  17. Distance(A, C) → AC
  18. Distance(D, E) → DE
  19. Distance(E, F) → EF
  20. Distance(D, F) → DF
  21. Distance(G, H) → GH
  22. Distance(H, I) → HI
  23. Distance(G, I) → GI
  24. Polygon(A, B, C) → poly1, c_1, a_1, b_1
  25. Polygon(D, E, F) → poly2, f_1, d_1, e_1
  26. Polygon(H, I, G) → poly3, g_1, h_1, i_1
  27. Angle(A, C, B) → α
  28. Angle(C, B, A) → β
  29. Angle(B, A, C) → γ
  30. Angle(E, D, F) → δ
  31. Angle(F, E, D) → ε
  32. Angle(I, H, G) → ζ
  33. Angle(H, G, I) → η
  34. Angle(G, I, H) → θ
  35. Angle(D, F, E) → ι
  36. SelectedIndex(Bahasa) → nn
  37. If(nn ≟ 1, "units", "unit") → UTex
  38. If(nn ≟ 1, "Equilateral triangle", "Segi tiga sama sisi") → text2
  39. If(nn ≟ 1, "Isosceles triangle", "Segi tiga sama kaki") → text3
  40. If(nn ≟ 1, "Scalene triangle", "Segi tiga tak sama kaki") → text5