SSA is ambiguous because two different triangles can be made from the given information. You can't apply Law Of Sines simply because it only helps you solve one side length. I will help you find out if there is a solution though.
If you know the length of two sides and an angle other than the angle between those sides, then the Law of Sines can be used. This is the "SSA" case -- Side, Side, Angle. Assuming you know the lengths of sides a and b, and angle A,
a/sin(A) = b/sin(B)
sin(B) = (b/a) sin(A)
If a < b, and sin(B) = (b/a) sin(A) is between 0 and 1, then two different angles, B, can satisfy this equation: one is acute, the other is obtuse, and these two angles are supplementary.
If you know the length of two sides and an angle other than the angle between those sides, then the Law of Sines can be used. This is the "SSA" case -- Side, Side, Angle. Assuming you know the lengths of sides a and b, and angle A,
a/sin(A) = b/sin(B)
sin(B) = (b/a) sin(A)
If a < b, and sin(B) = (b/a) sin(A) is between 0 and 1, then two different angles, B, can satisfy this equation: one is acute, the other is obtuse, and these two angles are supplementary.