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Law of Sines - SSA Ambiguous Case

Law of Sines - SSA Ambiguous Case
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2016-02-25 12:40
TriangleTrigonometryGeometric Construction
This example illustrates the ambiguity in the SSA (Side-Side-Angle) case of the Law of Sines. Key mathematical concepts include the Law of Sines and its applications. Using GeoGebra commands such as Point, Segment, Rotate, Angle, etc., it dynamically demonstrates the construction of triangles under different conditions. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Point(Circle[B_1, c]) → C_1
  2. Segment(B_1, C_1) → b_1
  3. Rotate(C_1, (-B), B_1) → C'
  4. Angle(C', B_1, C_1) → B_3
  5. Ray(B_1, C') → a
  6. Point(Circle[C_1, b]) → C
  7. Segment(C_1, C) → d
  8. OrthogonalLine(C_1, a) → e
  9. Intersect(e, a) → D
  10. Segment(C_1, D) → f
  11. Circle(C_1, C) → g
  12. Intersect(g, a, 1) → E
  13. Intersect(g, a, 2) → F