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Law of Sines - Ambiguous Case by Amanda Huelbig

Law of Sines - Ambiguous Case by Amanda Huelbig
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2019-01-16 03:55
AngleTrigonometryGeometric Construction
This example demonstrates the application of the Law of Sines in ambiguous cases. It involves core mathematical concepts such as trigonometry. Using GeoGebra commands like Ray, Point, Segment, Angle, a triangle is constructed and the number of solutions is observed by adjusting angles and side lengths. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Ray(A, B_1) → f
  2. Point(Circle[A, 10]) → C
  3. Segment(A, C) → h
  4. Angle(f, h) → α
  5. Point(Circle[C, 4]) → D
  6. Segment(C, D) → g
  7. Point(Circle[C, 5]) → E
  8. Segment(C, E) → i
  9. Point(Circle[C, 6]) → F
  10. Segment(C, F) → j
  11. Point(Circle[C, 11]) → G
  12. Segment(C, G) → k
  13. Point(f) → B