No, it is an ambiguous case: there are two possible configurations.
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Such a triangle would be impossible to construct with the given 3 dimensions because in order to construct a triangle the sum of its 2 shortest sides must be greater than the length of its longest side.
Use trigonometry knowing that the angle will be 60 degrees
No the given measurements would not make a triangle because in order to construct a triangle the sum of its smallest sides must be greater than its longest side.
It is not possible to answer the question with the information given - particularly with the form in which it is given.
Yes. That's always possible, but there's only one of them.