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Cosine Rule

Cosine Rule
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2015-08-24 14:36
TriangleTrigonometryGeometric Construction
This example demonstrates the application of the Cosine Rule, which describes the relationship between the sides and angles of a triangle. Using GeoGebra commands such as Polygon, OrthogonalLine, and Intersect, the construction visually illustrates the calculation process of the Cosine Rule. Suitable for middle school and above students to learn trigonometry and geometric construction.

GeoGebra Commands & Parameters

  1. Polygon(A, C, B) → poly1, c, a, b
  2. OrthogonalLine(B, c) → d
  3. Intersect(d, poly1) → D, E
  4. Segment(D, B) → e
  5. Distance(A, D) → distanceAD
  6. Distance(C, D) → distanceBD
  7. Distance(A, B) → distanceAC
  8. Distance(C, B) → distanceBC
  9. Distance(D, B) → distanceDC
  10. Distance(A, C) → f
  11. Angle(C, A, B) → α
  12. Angle(B, C, A) → γ
  13. Angle(A, B, C) → γ_1