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Kite Area Calculation by TPettifor

Kite Area Calculation by TPettifor
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2017-01-05 15:25
PolygonOptimizationGeometric Construction
This example demonstrates how to calculate the area of a kite using GeoGebra. Core mathematical concepts include the properties of a kite's diagonals, area formulas, and the application of linear functions. Construction highlights involve using GeoGebra commands like Point, Segment, LineBisector, Distance, Midpoint, and Polygon to construct the kite, and solving optimization problems for area. Suitable for high school mathematics teaching and geometric construction practice.

GeoGebra Commands & Parameters

  1. Point(Circle[A, 1]) → B
  2. Segment(A, B) → f
  3. LineBisector(f) → g
  4. Point(g) → C
  5. Point(g) → D
  6. Distance(C, D) → distanceCD
  7. Midpoint(C, D) →
  8. Distance(A, B) → distanceAB
  9. Midpoint(A, B) →
  10. Polygon(C, A, D, B) → poly1, c, a, d, b
  11. PointIn(poly1) → Pointpoly1