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Area of Triangles, Circles, Rectangles

Area of Triangles, Circles, Rectangles
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2017-05-04 21:47
TriangleCirclePolygonGeometric Construction
This example demonstrates how to calculate the area of triangles, circles, and rectangles. It involves core mathematical concepts such as area formulas, geometric constructions, and coordinate geometry applications. Using GeoGebra commands like Random, Segment, Midpoint, Polygon, OrthogonalLine, Line, Intersect, Angle, PointIn, Textfield, Cell, Circle, Distance, and Vector, the example constructs and measures geometric figures dynamically. It is suitable for middle school and above students to learn and understand area calculation methods for geometric shapes, ideal for classroom instruction or self-directed exploration.

GeoGebra Commands & Parameters

  1. Random(0, 5) → a
  2. Random(0, 5) → b
  3. Random(8, 13) → c
  4. Random(-2, 8) → d
  5. Segment(A, B) → f
  6. Midpoint(A, B) → C
  7. Random(0, 20) → e
  8. Random(14, 22) → l
  9. Polygon(A, D, B) → poly1, b_1, a_1, d_1
  10. OrthogonalLine(D, f) → g
  11. Line(A, B) → h
  12. OrthogonalLine(D, h) → i
  13. Intersect(h, i) → F
  14. Segment(D, F) → j
  15. Segment(A, F) → k
  16. Angle(A, F, D) → α
  17. PointIn(poly1) → Pointpoly1
  18. Textfield(area) → InputBox1
  19. Random(1, 14) → A16
  20. Cell(2, A16) → B16
  21. Line(D, f) → p
  22. OrthogonalLine(A, p) → r
  23. OrthogonalLine(B, p) → s
  24. Intersect(p, r) → E
  25. Intersect(p, s) → G
  26. Polygon(A, E, G, B) → poly2, a_2, e_1, g_1, b_2
  27. PointIn(poly2) → Pointpoly2_1
  28. PointIn(poly2) → Pointpoly2
  29. Textfield(v) → InputBox2
  30. Circle(E, G) → q
  31. Distance(E, G) → w
  32. Vector(E, G) → u_1
  33. PointIn(q) → Pointq