证明三角形的面积:S=a2sinBsinc∕2sinA=b2sinAsinC/2sinB=c2sinAsinB/2sinc
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证明三角形的面积:S=a2sinBsinc∕2sinA=b2sinAsinC/2sinB=c2sinAsinB/2sinc
证明三角形的面积:S=a2sinBsinc∕2sinA=b2sinAsinC/2sinB=c2sinAsinB/2sinc
证明三角形的面积:S=a2sinBsinc∕2sinA=b2sinAsinC/2sinB=c2sinAsinB/2sinc
由正弦定理,b=asinB/sinA,
∴△ABC的面积S=(1/2)absinC=a^2*sinBsinC/(2sinA),
同理,S=b^2*sinAsinC/(2sinB)=c^2*sinAsinB/(2sinC).