Let ${\rm{A}}(x,y,z)$ be a point in xy-plane, which is equidistant from three points (0,3,2),(2,0,3) and (0,0,1).
Let ${\rm{B}} = (1,4, - 1)$ and ${\rm{C}} = (2,0, - 2)$. Then among the statements
(S1): $\Delta {\rm{ABC}}$ is an isosceles right angled triangle, and
(S2) : the area of $\Delta {\rm{ABC}}$ is $\frac{{9\sqrt 2 }}{2}$