**Ruler and compasses only may be used in this question. All construction lines and arcs must be clearly shown, and the be sufficient length and clarity to permit assessment.**

**(i) Construct a triangle ABC, in which AB = 9 cm, BC = 10 cm and angle ABC = 45˚.**

**(ii) Draw a circle, with ****centre**** A and radius 2.5 cm. Let it meet AB at D.**

**(iii) Construct a circle to touch the circle with ****centre**** A externally at D and also to touch the line BC.**