**(a) Only ****ruler**** and compass may be used in this question. All contraction lines and arcs must be clearly shown and be of sufficient length and clarity to permit assessment.**

**(i) Construct a ABC, such that AB = AC = 7 cm and BC = 5 cm.**

**(ii) Construct AD, the perpendicular bisector of BC.**

**(iii) Draw a circle with ****centre**** A and radius 3 cm. Let this circle cut AD at P.**

**(iv) Construct another circle, to touch the circle with ****centre**** A, externally at P, and pass through B and C.**