Equidistant Point and Triangle Geometry

Let 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 B = (1, 4, –1) and C = (2, 0, –2). Then among the statements
(S1) : ΔABC is an isosceles right angled triangle
and
(S2) : the area of ΔABC is .