Mathematics WAEC / WASSCE 2009 Geometry and Trigonometry
(a) Using ruler and a pair of compasses only, construct : (i) quadrilateral PQRS such that /PQ/ = 10 cm, /QR/ = 8 cm, /PS/ = 6 cm, < PQR = 60^\circ and < QPS = 75^\circ ; (ii) the locus \(l_{1}\) of points equidistant from QR and RS ; (iii) locus \(l_{2}\) of points equidistant from R and S ; (b) Measure /RS/.