Law of Sines/Cosines question

I'm not sure what you mean. I suppose you could fit hundreds of triangles in a large enough triangle!

Do you perhaps mean, how many non-congruent triangles can be made given two sides and the included angle? The answer is one; you have perhaps learned a geometry theorem about that, or a method to find all the other parts of that one triangle.

It would be more interesting if you had said SSA.
 
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