Olympiad workbookIOQMStraight Lines

If A B C D is a rectangle and P is a point inside it such that A P=33, B P=16, D P=63 . Find C P .

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Step-by-step solution

aligned & In P A D, x^2+y^2=33^2 ...(i) & In P B D,(a-x)^2+y^2=16^2 ...(ii) & In P D F, x^2+(b-y)^2=63^2 ....(iii) & array r (ii) +( iii )-( i ) (a-x)^2+(b-y)^2 =63^2+16^2-33^2 array & C P^2=56^2 [ In P C E, C P^2=(a-x)^2+(b-y)^2 ] & C P=56 aligned

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