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Rhombus Side from Area

Rhombus Side from Area
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2016-02-28 13:36
PolygonTrigonometryGeometric Construction
This example demonstrates how to calculate the side length of a rhombus using its area. Key math concepts include the area formula for rhombuses, trigonometry, and geometric constructions. GeoGebra commands and objects used in construction are Textfield, Circle, Point, Segment, Rotate, Angle, Line, Intersect, Polygon. Suitable for high school mathematics teaching to understand the geometric properties and applications of area in rhombuses.

GeoGebra Commands & Parameters

  1. Textfield(g) → InputBox1
  2. Textfield(ar) → InputBox2
  3. Circle(A, a) → c
  4. Point(c) → B
  5. Segment(A, B) → b
  6. Rotate(B, g°, A) → D
  7. Angle(B, A, D) → α
  8. Segment(A, D) → d
  9. Line(B, d) → e
  10. Line(D, b) → f
  11. Intersect(e, f) → C
  12. Segment(B, C) → h
  13. Segment(C, D) → i
  14. Segment(D, B) → j
  15. Polygon(A, D, C, B) → poly1, a_1, d_1, c_1, b_1