∵a=7,b=3,c=5,且a为最大边,∴最大角为A,cosA= b2+c2?a2 2bc = 9+25?49 30 =- 1 2 ,∴A=120°;由正弦定理 a sinA = c sinC ,得sinC= csinA a = 5× 3 2 7 = 5 3 14 .