Let A(1,2,3), B(4,6,6) and C(1,6,6) be three points in space.
a. (i) Calculate the three side lengths AB,BC and CA.
b. (ii) On the basis of the lengths obtained in part (i), classify the triangle ABC as equilateral, isosceles or scalene.
c. (iii) Find the perimeter of △ABC to two decimal places.