△ABC的三边a,b,c满足a²-10a+c²-26c+194+√(2/3b-8)=0,试求a,b,c的值,并判断△ABC的形状.急!快快快!在线等!

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△ABC的三边a,b,c满足a²-10a+c²-26c+194+√(2/3b-8)=0,试求a,b,c的值,并判断△ABC的形状.急!快快快!在线等!
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△ABC的三边a,b,c满足a²-10a+c²-26c+194+√(2/3b-8)=0,试求a,b,c的值,并判断△ABC的形状.急!快快快!在线等!
△ABC的三边a,b,c满足a²-10a+c²-26c+194+√(2/3b-8)=0,试求a,b,c的值,
并判断△ABC的形状.急!快快快!在线等!

△ABC的三边a,b,c满足a²-10a+c²-26c+194+√(2/3b-8)=0,试求a,b,c的值,并判断△ABC的形状.急!快快快!在线等!
a²-10a+c²-26c+194+√(2/3b-8)=0
(a-5)²+(c-13)²+√(2b/3-8)=0;
∴a-5=0;
a=5;
c-13=0;
c=13;
2b/3=8;
b=12;
所以a²+b²=c²;
所以是直角三角形
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