因为 cosB=√10/10,所以 sinB=3√10/10, cosC=cos(π-(A+B))=-cosAcosB+sinAsinB,即cosC=-√5/10+3√5/10=2√5/10.cosC=2√5/10
根据正弦定理,AB=sinC×BC/sina,所以AB=2√2
因为 cosB=√10/10,所以 sinB=3√10/10, cosC=cos(π-(A+B))=-cosAcosB+sinAsinB,即cosC=-√5/10+3√5/10=2√5/10.cosC=2√5/10
根据正弦定理,AB=sinC×BC/sina,所以AB=2√2