MathPlotAI Logo MathPlotAI

Area of a Kite by Jeffrey P. Smith

Area of a Kite by Jeffrey P. Smith
Loading the math board and drawing, please wait…
2017-07-06 21:23
PolygonCalculusGeometric Construction
This example demonstrates how to calculate the area of a kite using geometric construction. Key mathematical concepts include the properties and area formula of a kite. Using GeoGebra commands such as Line, Point, Polygon, Segment, etc., a dynamic kite can be constructed and its area calculated.

GeoGebra Commands & Parameters

  1. Line(A, B) → f
  2. Point(f) → C
  3. OrthogonalLine(C, f) → g
  4. Circle(C, D) → c
  5. Intersect(c, g, 1) → E
  6. Intersect(c, g, 2) → F
  7. Point(f) → G
  8. Polygon(G, E, F) → poly1, f_1, g_1, e
  9. Point(f) → H
  10. Polygon(F, H, E) → poly2, e_1, f_2, h
  11. Segment(C, G) → i
  12. Distance(C, G) → distanceCG
  13. Point(Circle[C, 4]) → I
  14. Segment(C, I) → j
  15. Circle(H, Segment[G, I]) → d
  16. Intersect(d, f, 2) → J
  17. Line(E, f) → k
  18. Line(F, g_1) → l
  19. Polygon(H, E, J) → poly3, j_1, h_1, e_2
  20. Polygon(F, J, H) → poly4, h_2, f_3, j_2
  21. Segment(E, I) → m
  22. Segment(I, F) → n
  23. Circle(C, I) → p
  24. Intersect(p, f, 1) → K
  25. Segment(K, H) → q
  26. Segment(K, E) → r
  27. Segment(K, F) → s
  28. Line(F, q) → t
  29. Intersect(j, m) → L
  30. Segment(G, L) → a
  31. Segment(H, J) → b