Using a ruler and a pair of compasses only,
(a) Construct : (i) (Delta PQR) such that /PQ/ = 8cm, /PR/ = 7cm and < QPR = 105°. (ii) locus (L_{1}) of points equidistant from P and Q. (iii) locus (l_{2}) of points equidistant Q and R.
(b)(i) Label the point T where (l_{1}) and (l_{2}) intersect ; (ii) With centre T and radius /TQ/, construct a circle (l_{3}). (iii) Complete quadrilateral PQSR such that /RS/ = /QS/ and /RQ/ = /TS/.