设顶点B的坐标为(b,√2),则直线BC的斜率是Kbc=√2/b;直线AC的斜率Kac=√(2/3);因C是直角顶点,故AC⊥BC,从而有Kac=-1/Kbc→√(2/3)=-b/√2→b=-2/√3;顶点坐标B(-2/√3,√2);