Mathematics (AS & A Level) · May / June 2016 · Paper 13 · Question 6
9709
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A B C E F G 1 1 2 2 3 3 The diagram shows triangle ABC where AB = 5 cm, AC = 4 cm and BC = 3 cm. Three circles with centres at A, B and C have radii 3 cm, 2 cm and 1 cm respectively. The circles touch each other at points E, F and G, lying on AB, AC and BC respectively. Find the area of the shaded region EFG. [7]
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