Ambiguous Case

AC and AB have a given measure. Use the slider to adjust angle B, which also has a given measure. Drag point A on the circle. Can you form more than one triangle with two segments of the given lengths and an angle of a given length? What does this mean about using the Law of Sines when you know two sides and only one angle? You may also adjust the distance from point B to point C to see how this influences the results.
Adapted from Kathryn Brenneman