How do I determine if measurements given for a triangle will produce one, two, or no triangles?

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Example: a=7, c=28, A=12º Here is what I have so far.

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By, finding out the height of the triangle, you can determine how many triangles there are. If the given length is longer than the height, there are 2 cases, if they’re the same length, there is 1, and if it’s shorter than the height, there will be none.