Simone
asinC/(1-cosA)=√3casinC = √3c(1-cosA)asinC = √3c-√3ccosAa=2RsinA，c=2RsinC2RsinAsinC = 2√3RsinC-2√3RsinCcosAsinA = √3-√猛物3cosAsinA+√3cosA = √31/2sinA+(√3/2)cosA = √3/2sinAcos(π/3)+cosAsin(π/3) = √3/2sin(A+π/3)=√3/20＜A＜π∴A+π/3=2π/3∴A=π/3===============（1）∵a=2又：a=2RsinA∴R=a/枝缺液(2sinA)=2/(2*√3/2) = 2√3/3即：△ABC外接圆的半径 2√3/3=====================（2）S△ABC=4√3,(1/2)bcsinA=4√3bc=8√3/sinA= 8√3/(√3/2) = 16b+c=10a²=b²+c²-2bccosA = b²+c²-2bc*1/2 = b²+c²-bc = (b+c)²-3bc = 10²扮姿-3×16 = 52a=√52 = 2√13
