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Triangle Area by Priyanka

Triangle Area by Priyanka
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2014-09-19 19:37
TriangleCoordinate GeometryGeometric Construction
This example demonstrates how to calculate the area of a triangle using coordinate geometry. Key mathematical concepts include the area formula for triangles and coordinate geometry. Using GeoGebra commands such as Point, Line, and Polygon, the construction process of the triangle is dynamically shown. Suitable for students in middle school and above to learn the calculation methods of triangle areas.

GeoGebra Commands & Parameters

  1. Point(Circle[A_2, 7]) → b_3
  2. Line(A_2, b_3) → b_2
  3. Point(b_2) → c_4
  4. Circle(c_4, 4) → d
  5. OrthogonalLine(c_4, b_2) → c_3
  6. Intersect(d, c_3, 2) → D
  7. OrthogonalLine(D, c_3) → f_1
  8. Circle(A_2, 5) → g
  9. Intersect(g, f_1, 1) → A
  10. Line(A_2, A) → h
  11. Line(b_3, h) → i
  12. Intersect(i, b_2) → F
  13. Point(i) → L
  14. Point(i) → J
  15. Ray(L, J) → g_1
  16. Point(f_1) → H
  17. Ray(D, H) → j
  18. Segment(A_2, b_3) → a
  19. Intersect(h, a) → C
  20. Segment(c_4, D) → e_2
  21. OrthogonalLine(L, h) → l
  22. Intersect(h, l) → M
  23. Angle(C, M, L) → β
  24. Point(j) → A_1
  25. OrthogonalLine(A_1, b_2) → m
  26. Intersect(b_2, m) → K
  27. Angle(A_1, K, c_4) → γ
  28. Segment(A_1, K) → n
  29. Point(g_1) → B_1
  30. OrthogonalLine(B_1, h) → p
  31. Intersect(i, l) → N
  32. Segment(N, M) → q
  33. OrthogonalLine(B_1, h) → r
  34. Intersect(h, r) → P
  35. Segment(B_1, P) → d_1
  36. Angle(B_1, P, M) → δ
  37. Angle(c_4, D, A_1) → ε
  38. Angle(M, N, B_1) → ζ
  39. Polygon(A_1, F, C) → poly2, c_2, a_1, f_2
  40. Intersect(f_1, h) → E
  41. Polygon(B_1, C, E) → poly1, e_1, b_1, c_1
  42. Angle(K, c_4, D) → α
  43. Intersect(i, b_2) → B
  44. Polygon(B, E, C) → poly3, c, b_4, e