9514 1404 393
Answer:
2
Step-by-step explanation:
The given angle is opposite the shorter of the given sides, so there are two possible triangles.
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Additional comment
The law of sines tells you that sin(A) = a/c·sin(C). There will be 0 triangles if that is greater than 1. There will be 1 triangle if that is exactly 1 (unlikely with rational values of sides and angles). There will be 2 triangles if sin(A) < 1, as it is here.
