在△ABC中,若三个内角A,B,C满足(sinA-sinB)(sinB-sinC)(sinC-sinA...
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共2个回答
热心网友
sinA=a/2R sinB=b/2R sinC=c/2R
(sinA-sinB)(sinB-sinC)(sinC-sinA)=0
(a/2R-b/2R)(b/2R-c/2R)(c/2R-a/2R)=0
(a-b)(b-c)(c-a)=0
a=b b=c c=a
热心网友
sinA=a/2R sinB=b/2R sinC=c/2R
(sinA-sinB)(sinB-sinC)(sinC-sinA)=0
(a/2R-b/2R)(b/2R-c/2R)(c/2R-a/2R)=0
(a-b)(b-c)(c-a)=0
a=b b=c c=a
