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Let ABCD be a trapezium in which AB || CD and AD ⊥ AB. Suppose ABCD has an incircle which touches AB at Q and CD at P.

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Let ABCD be a trapezium in which AB || CD and AD ⊥ AB. Suppose ABCD has an incircle which touches AB at Q and CD at P. Given that PC = 36 and QB = 49, find PQ.

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∵ PQ is a diameter.

Draw CR || PQ, through C.

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