Law of Sines AAS ONE SOLUTION SSA AMBIGUOUS CASE ASA ONE SOLUTION

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Presentation transcript:

Law of Sines AAS ONE SOLUTION SSA AMBIGUOUS CASE ASA ONE SOLUTION Second angle option violates triangle angle-sum theorem ONE SOLUTION Domain error NO SOLUTION Both angles satisfy triangle angle-sum theorem TWO SOLUTIONS

Law of Cosines SAS Use LoC to solve for side corresponding to included angle first. Then use LoS to solve for smallest of remaining two angles. Find third through subtraction. SSS Use LoC to solve for largest angle first. Then use LoS to find either of remaining two angles. Find third through subtraction.

Example 1: a = 40u, c = 44u, B = 16 A C B 40u 44u 16

Example 2: a = 18u, b = 10u, c = 25u A C B 18u 25u 10u