$\"\"$

\

The two lengths of triangle are $\"\"$ and $\"\"$ .

\

The angle is $\"\"$ .

\

$\"\"$ is acute .

\

Therefore, there are two solutions.

\

There are two posibilities to draw the triangle with above specifications.

\

Posibilty 1:

\

$\"\"$

\

Consider triangle

\

Law of sines : $\"\"$ .

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

The sum of the angles in any triangle is $\"\"$ .

\

The two angles are $\"\"$ and $\"\"$ .

\

The remaining angle $\"\"$ .

\

$\"\"$ .

\

Law of sines : $\"\"$ .

\

$\"\"$

\

$\"\"$

\

$\"\"$ .

\

Therefore, the area of triangle is $\"\"$

\

Substitute $\"\"$ and $\"\"$ and $\"\"$ in the above equation

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

Posibility 2:

\

$\"\"$

\

Consider above triangle

\

Law of sines : $\"\"$ .

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

The sum of the angles in any triangle is $\"\"$ .

\

The two angles are $\"\"$ and $\"\"$ .

\

The remaining angle $\"\"$ .

\

$\"\"$ .

\

Law of sines : $\"\"$ .

\

$\"\"$

\

$\"\"$

\

$\"\"$ .

\

Therefore, the area of triangle is $\"\"$

\

Substitute $\"\"$ and $\"\"$ and $\"\"$ in the above equation

\

$\"\"$

\

$\"\"$ .

\

Therefore, the third side of triangle is $\"\"$ or $\"\"$ .

\

$\"\"$

\

The third side of triangle is $\"\"$ or $\"\"$ .