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AR(POS)/ar(POQ)=OS/OQ(ratio of area of triangles from a common vertex are equal to the ratio of their bases ) ar(SOR)/ar(ROQ)=OS/OQ(same reason as above) Ar(POS)/Ar(POQ)=Ar(SOR)/AR(ROQ) So, AR(POQ) X AR(ROS) = AR(POS ) X AR(ROQ)
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