The two lengths are and
.
The angle .
Draw the triangle with above specifications :
\A is obtuse and because
.
Therefore, one solution exists.
\Law of sines : .
.
The sum of the angles in any triangle is .
The length of sides and
.
The two angles are and
.
The remaining angle .
Law of sines : .
.
Therefore the remaing measures are and
and
.