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IB Math SL Smith
Law of Sines The Ambiguous Case
Part I…When do we use the Law of Sines? Part II…SSA
Given Angle A: Given Angle B: Given Angle C:
Part III…Solutions
Consider: 30 , 10, ?A c a
a = 5?
a < 5?
a > 5? a > 5 and a < 10
a > 5 and a = 10
a > 5 and a > 10
Part IV…In General
Given , ,a c A….right triangle leg = compare to
Part V…Examples
1. 30 , 10, 3A c a
2. 30 , 10, 12A c a
3. 30 , 10, 7A c a
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