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Pre-Calculus: Law of Sines Ambiguous Case Exploration

Pre-Calculus: Law of Sines Ambiguous Case Exploration
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2016-04-07 00:30
TriangleTrigonometryGeometric Construction
This example demonstrates the application of the Law of Sines in ambiguous cases. Key mathematical concepts include the Law of Sines and its use in solving triangle problems. Using GeoGebra commands such as Point, Segment, Rotate, Angle, Ray, Intersect, etc., dynamic exploration of different conditions in triangle solutions is possible. Suitable for high school pre-calculus courses.

GeoGebra Commands & Parameters

  1. Point(Circle[A, 13]) → B
  2. Segment(A, B) → c
  3. Rotate(B, (-(35°)), A) → C_1
  4. Angle(C_1, A, B) → α
  5. Ray(A, C_1) → b
  6. OrthogonalLine(B, b) → e
  7. Intersect(b, e) → D
  8. Segment(B, D) → f
  9. Point(Circle[B, BC]) → C
  10. Segment(B, C) → a
  11. Circle(B, C) → d
  12. Angle(B, D, A) → β