What is the term for the specific scenario in the Law of Sines where given sides a, b, and angle A may result in zero, one, or two possible triangles?

Ambiguous Case

The Ambiguous Case (SSA) occurs when two sides and a non-included angle are known. Depending on the side lengths, the 'swinging' side might not reach the base, reach it exactly once, or reach it at two different points.