C=180-A-B=105°
b=sinB*a/sinA
=1/2*2/(√2/2)
=√2
sinC=sin(A+B)=sinAcosB+sinBcosA
=√2/2*√3/2+1/2*√2/2
=(√6+√2)/4
c=sinC*a/sinA
=(√6+√2)/4*2/(√2/2)
=(√3+1)/2