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In Fig. 10.20, the sides A B ,\ B C an...

In Fig. 10.20, the sides `A B ,\ B C` and `C A` of triangle `A B C` touch a circle with centre `O` and radius `r` at `P ,\ Q` and `R` respectively. (FIGURE) Prove that: 1) AB + CQ = AC + BQ 2) Area (ABC) = (r/2)*(Perimeter of ABC)

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