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(a) Using a ruler and a pair of compasses only. Construct triangle ABC in which AB = 5cm, BC = 4.5cm and angle BAC=600
(b) On the same side of AB as C:
(i) Determine the locus of a point P such that Angle APB=900
(ii) Construct the locus R such that AR>2cm
(iii) Determine the region T such that Angle ACT≥BCT