(a) Using a ruler and a pair of compasses only, construct: (i) a triangle ABC such that |AB| = 5cm, |AC| = 7.5cm and < CAB = 120°; (ii) the locus (l_{1}) of points equidistant from A and B; (iii) the locus (l_{2}) of points equidistant from AB and AC which passes through triangle ABC .
(b) Label the point P where (l_{1}) and (l_{2}) intersect.
(c) Measure |CP|.
Explanation
(c) |CP| = 6.7cm