o, I've come across a sine rule question that looks like the diagram in the following link, with angle ACB=120, b=6cm and sine angle CDB= 1/root12.
Using the sine rule, I work out AB=18cm. But when I divide triangle ABC into two separate right-angled triangles ACD and BCD and use Pythagoras Theorem to work out AB, I got root 11 + root 35. What went wrong? (since sine CDB = 1/root 12, x=1 and a=root12, then DB =root 11 then I do the same for triangle ACD)