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Cosine Law Demonstration

Cosine Law Demonstration
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2014-08-11 23:27
TriangleTrigonometryGeometric Construction
This example demonstrates the application of the Cosine Law in triangles, showing the dynamic relationship between side lengths and angles. Key math concepts include the Cosine Law, triangle geometry, and coordinate geometry. It uses GeoGebra commands/objects like Point, Line, Rotate, Angle, Circle, Intersect, Polygon, Distance. Suitable for high school mathematics teaching and geometric learning, helping to understand the geometric meaning of the Cosine Law.

GeoGebra Commands & Parameters

  1. Textfield(a_2) → inputBox1
  2. Textfield(b_2) → inputBox2
  3. Point(xAxis) → A
  4. Line(A, Z) → c_1
  5. Rotate(D, α, A) → D'
  6. Angle(D, A, D') → α_1
  7. Line(A, D') → e
  8. Circle(A, a_2) → f
  9. Circle(A, b_2) → g
  10. Intersect(f, e) → Z_1, B
  11. Intersect(g, c_1) → F, C
  12. Polygon(A, C, B) → poly1, b, c, a
  13. Distance(a, b) → h
  14. Distance(A, B) → distanceAE
  15. Distance(A, C) → distanceAF2
  16. Distance(B, C) → distanceBC
  17. Textfield(α) → inputBox3