Using a ruler and a pair of compasses only, construct a triangle ABC, given that |AB| = 8.4cm, |BC| = 6.5cm and < ABC = 30°. Construct the locus:
(a) (l_{1}) of points equidistant from AB and BC, and within the angle ABC;
(b) (l_{2}) of points equidistant from B and C. Locate the point of intersection P of (l_{1}) and (l_{2}). Measure |AP|.