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F5 Maths tangent prop. (2)

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figure:http://img201.imageshack.us/img201/6141/66753836.png In triangle ABC, AB = 35 cm, BC = 15 cm and CA = 30 cm. A circle is drawn to touch BC at P, AB produced at Q and AC produced at R. Let BP = x cm. Find the value of x.

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Intriangle ABC, AB = 35 cm, BC = 15 cm and CA = 30 cm. A circle is drawn to touch BC at P, AB produced at Q and AC produced at R. Let BP = x cm. Find the value of x. Sol BP=x CP=15-x BQ=BP=x AQ=AB+BQ=35+x AR=AC+CR=30+15-X=45-x AQ=AR 35+x=45-x 2x=10 x=5

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