Q 25 In figure , the side AB,BC and CA of triangle ABC touch a circle with centre O - Maths - Circles

Question

Q 25 In figure , the side 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 ( ∆ ABC) = 1/2 (perimeter of
∆ ABC ) × r

Amit Shukla · Accepted Answer

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https://www meritnation
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Q. 25 In figure , the side 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 ( ∆ ABC) = 1/2 (perimeter of ∆ ABC ) × r

Q. 25 In figure , the side 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 ( $∆$ ABC) = 1/2 (perimeter of $∆$ ABC ) $\times$ r