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In the figure, the sides AB, BC and CA o...

In the figure, the sides AB, BC and CA of triangle ABC touch a circle with centre O and radius r at P, Q , and R respectively. Prove that
(i) `AB+CQ=AC+BQ`
(ii) Area `(DeltaABC)=1/2 ("Perimeter of" DeltaABC)xx r`

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