Try using Angle-Side-Side or the Ambiguous Case. I don't remember the actual formula off the top of my head but that should solve both triangles.
Hi, I just came across this problem today and I know I only solved half of it perfectly (the other half not too sure...)
Without further ado:
In triangle DEF D=52 (degrees) d=9 and e=11 (where d and e are the sides opposite of D and E respectively) There are two possible ways to draw the triangle. Find both triangles and solve them.
So I was able to solve one triangle via Law of Sines, but how to get the other one?