(a) Using a ruler and a pair of compasses only, construct:
(i) triangle XYZ with |XY| = 9 cm, |YZ| = 12 cm and |XZ| = 8cm;
(ii) the perpendicular bisector of line XY;
(iii) the perpendicular bisector of line XZ.

(b) (i) Label the point of intersection of the two bisectors as T;
(ii) With point T as centre, draw a circle of radius 6 cm.

(c) Measure:
(i) |TX|
(ii) angle XYZ