SSA is considered ambiguous because sometimes two different triangles can be created when using the Law of Sines. We cannot use the Law of Sines in an ambiguous-case problem because an acute angle and an obtuse angle (supplementary to 180 degrees) can have the same sine. In this situation, there are two solutions because it turns out 'a'=19 is greater than 'h'=15.4 so there is an additional connection made, meaning you'll have two answers of sides and angles
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