Answer:
[tex]c=6.8[/tex]
Step-by-step explanation:
Law of Sines
[tex]\frac{sinA}{a}=\frac{sinB}{b}=\frac{sinC}{c}[/tex]
Solve for side c
[tex]\frac{sin(42^\circ)}{12}=\frac{sin(56^\circ)}{c}\\\\ csin(42^\circ)=12sin(56^\circ)\\\\c=\frac{12sin(56^\circ)}{sin(42^\circ)}\\ \\c\approx6.8[/tex]
