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Area of Rhombus

Area of Rhombus
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2016-02-28 13:28
TrigonometryCoordinate GeometryGeometric Construction
This example demonstrates how to calculate the area of a rhombus using trigonometric functions. It involves core mathematical concepts such as trigonometry and coordinate geometry. Using GeoGebra commands like Point, Rotate, Angle, Ray, Segment, Textfield, etc., a rhombus is constructed and its area is calculated. Suitable for students at the junior high school level and above to learn the method of calculating the area of a rhombus.

GeoGebra Commands & Parameters

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