The sides of a triangle are $a,b,$ and $c$ and the angles opposite to them are $A,B,$ and $C,$ respectively. Given $a=3, b=8,$ and $\sin { A } =\frac { 5 }{ 13 },$ what is the number of triangles that can be formed from the given data?

Your answer seems reasonable.
Find out if you're right!