Using ruler and a pair of compasses only, (a) construct, (i) triangle XYZ with |XY| = 8cm, < YXZ = 60^\circ and < XYZ = 30^\circ ; (ii) the perpendicular ZT to meet XY in T ; (iii) the locus \(l_{1}\) of points equidistant from ZY and XY. (b) If \(l_{1}\) and ZT intersect at S, measure |ST|.