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