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Cosine Rule by Toh Wee Teck

Cosine Rule by Toh Wee Teck
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2013-07-27 17:14
TriangleTrigonometryGeometric Construction
This example illustrates the application of the Cosine Rule, a fundamental tool for solving the relationships between sides and angles in a triangle. Using GeoGebra commands such as Line, Point, Segment, etc., it visually demonstrates the geometric meaning of the Cosine Rule. Suitable for students at the junior high school level and above to learn trigonometry and geometric construction.

GeoGebra Commands & Parameters

  1. Line(A, Z) → f
  2. Point(f) → B
  3. Segment(A, B) → c
  4. Segment(B, C) → a
  5. Segment(C, A) → b
  6. OrthogonalLine(C, f) → e
  7. Intersect(f, e) → Y
  8. Segment(Y, C) → h
  9. Segment(A, Y) → g
  10. Angle(C, Y, A) → α
  11. Angle(B, A, C) → θ
  12. Angle(C, B, A) → β
  13. Angle(A, C, B) → γ