The coordinates of A are $(0,2)$, those of B are $(3,3)$ and those of C are $(4,0)$.
(a)[4]
Determine whether triangle $ABC$ is scalene, isosceles or equilateral. You must show all your working.
(b(i))[3]
Find the equation of the line $AC$ and express it in the form $y=mx+c$.
(b(ii))[4]
Find the equation of the perpendicular bisector of $AC$ and express it in the form $y=mx+c$.
(b(iii))[3]
Find the coordinates of point $D$.
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