在三角形ABC中解三角形ABC 角A=75度 角B=45度 C=3根号2

C=180-75-45=60
c=3√2
c/sinC=b/sinB
3√2/(√3/2)=b/(√2/2)
b=2√3
cos150=-√3/2=1-2(sin75)^2
sin75=√[(1+√3/2)/2]=√[(2+√3)/4]=[√(8+4√3)]/4=(√6+√2)/4
所以a/sinA=c/sinC
a/[(√6+√2)/4]=3√2/(√3/2)
a=3+√3