Answer:
[tex]c=13.1\ units[/tex]
Step-by-step explanation:
step 1
Find the measure of angle C
Remember that the sum of the interior angles of a triangle must be equal to 180 degrees
so
A+B+C=180°
we have
A=57°
B=37°
substitute
57°+37°+C=180°
94°+C=180°
C=180°-94°=86°
step 2
Find the measure of side c
Applying the law of sines
[tex]\frac{a}{sin(A)}=\frac{c}{sin(C)}[/tex]
substitute
[tex]\frac{11}{sin(57\°)}=\frac{c}{sin(86\°)}[/tex]
[tex]c=\frac{11}{sin(57\°)}sin(86\°)[/tex]
[tex]c=13.1\ units[/tex]
