The sides of a triangle are and
.
The angle of triangle .
Solve the triangle by using Law of Sines.
\Apply law of sines formula: .
Consider .
Substitute ,
and
in
.
The angle and
.
For both the choices of ,
.
Therefore, two choices satisfies the condition of triangles.
\There exists two triangles with these measurments.
\The sum of three angles in a triangle is .
Substitute and
.
.
Substitute and
in
.
.
Find other side.
\Consider .
Substitute ,
and
in
.
.
Consider .
Substitute ,
and
in
.
.
Two triangles are
\,
,
and
,
,
.