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Trapezoid Area Calculation by Patricia Loy

Trapezoid Area Calculation by Patricia Loy
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2017-03-02 11:05
PolygonCoordinate GeometryCalculusIntegralLimit
This example demonstrates how to dynamically calculate the area of a trapezoid. It involves core math concepts like the area formula of a trapezoid, coordinate geometry, definite integrals, and limits. Construction highlights include using GeoGebra commands such as Intersect, Point, Polygon, Segment, OrthogonalLine, Angle, and Line. Suitable for high school mathematics teaching to understand the application of integrals in geometry.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → A
  2. Point(xAxis) → D
  3. Polygon(A, B, C, D) → poly1, a, b, c, d
  4. Segment(A, C) → f
  5. Polygon(A, B, C) → poly2, c_1, a_1, b_1
  6. OrthogonalLine(C, d) → g
  7. Intersect(g, d) → E
  8. Segment(C, E) → h
  9. Angle(D, E, C) → α
  10. Line(C, B) → i
  11. OrthogonalLine(A, i) → j
  12. Intersect(i, j) → F
  13. Segment(A, F) → k
  14. Segment(F, B) → l
  15. Angle(A, F, B) → β