应用正弦定理：
a/sinA=b/sinB.
sinA=asinB/a.
=√3sin45/√2.
=√3/2.
A1=60°,或A2=120°
C1=180-A-B.
=180°-60°-45°
=75 °
或C2=180°-45°-120°.
=15°
c/sinC=b/sinB.
c1=bsinC/sinB.
c1=√2*(√2/4)(1+√3)/(√2/2).【sin75=sin(30+45)=sin30cos45+cos30sin45=√2/4(1+√3)】
c1 =√2/2(√3+1).
或 c2=(√2/2(√3-1).
∴A1=60°,或 A2=120°
(B=45°),(B=45°)
C1=75°,C2=15°
c1=√2/2(√3+1 ) c2=√2/2(√3-1)