(a) A triangle ABC is drawn to cireumscribe a circle of radius 4 cm such that the segments BD and DC are of lengths 10 cm and 8 cm respectively. Find the lengths of the sides AB and AC, if it is given that area A ABC = 90 cm2.



OR

(b) Two circles with centres O and O of radii 6 cm and 8 cm, respectively intersect at two points P and Q such that OP and OP are tangents to the two circles. Find the length of the common chord PQ.

Solution

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