a/sinA=b/sinB=c/sinC
因為a=2,b=√6,B=60°,所以:
sinA=asinB/b=2*sin60°/√6=√2/2
且由a<b知A<B (大邊對大角)
則解得A=45°
所以C=180°-A-B=75°
則c=bsinC/sinB
=√6sin75°/sin60°
=(2√2)*(√2/2)*(1/2 +√3/2)
=1+√3
a/sinA=b/sinB=c/sinC
因為a=2,b=√6,B=60°,所以:
sinA=asinB/b=2*sin60°/√6=√2/2
且由a<b知A<B (大邊對大角)
則解得A=45°
所以C=180°-A-B=75°
則c=bsinC/sinB
=√6sin75°/sin60°
=(2√2)*(√2/2)*(1/2 +√3/2)
=1+√3