Construct, using ruler and compasses only, triangle ABC with sides AB = 9cm, BC = 8cm and AC = 6cm. The line AB has been drawn for you. [Figure: Line segment AB drawn]

1. (b)Construct the locus of points, inside the triangle ABC, which are
2. (b)(i)equidistant from AB and BC,[1]
3. (b)(ii)4 cm from A.[1]
4. (c)Shade the region, inside triangle ABC, containing the points that are nearer to BC than AB and more than 4 cm from A.[1]

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