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Cosine Law Demonstration with Draggable Points

Cosine Law Demonstration with Draggable Points
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2019-04-15 09:45
Geometric ConstructionSlider Animation
In collections MA440
This example demonstrates the cosine rule through geometric construction using draggable points. It shows the relationship between side lengths and angles in a triangle. Key mathematical concepts include the cosine rule, triangle properties, and geometric construction. The construction involves GeoGebra commands such as Point, Polygon, OrthogonalLine, Intersect, Segment, Angle, and Midpoint. Suitable for middle or high school mathematics education to understand triangle geometry and construction techniques.

GeoGebra Commands & Parameters

  1. Point(xAxis) → A
  2. Point(xAxis) → B
  3. Polygon(A, B, C) → poly1, c, a, b
  4. OrthogonalLine(C, c) → d
  5. Intersect(d, xAxis) → D
  6. Segment(C, D) → e
  7. Angle(B, A, C) → α
  8. Angle(C, B, A) → β
  9. Angle(A, C, B) → γ
  10. Segment(D, A) → f
  11. Midpoint(a) → E
  12. Midpoint(c) → F
  13. Midpoint(b) → G
  14. Angle(A, D, C) → δ
  15. Midpoint(e) → H
  16. Midpoint(f) → I
  17. Midpoint(D, B) → J