Using ruler and a pair of compasses only,
(a) construct a quadrilateral PXYQ such that /PX/ = 9.9 cm, /QX/ = 10.2 cm, < QPZ = 75°, /QY/ = 10.4 cm and PQ // XY.
(b) Construct the (i) locus (l_{1}) of points equidistant from X and Y ; (ii) locus (l_{2}) of points equidistant from QY and YX.
(c) Locate M, the point of intersection of (l_{1}) and (l_{2}).
(d) Measure /PM/.
Explanation
(d) /PM/ = 9.7 cm.