(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° and < QPS = 75° ;
(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/.
Explanation
(a)
(b) /RS/ = 4.4 cm.