Ambiguous Case
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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 http://www.geogebratube.org/student/m23248.