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Question -

Inthe given figure, AP || BQ || CR. Prove that ar (AQC) = ar (PBR).



Answer -

Since ╬ФABQ and ╬ФPBQ lie onthe same base BQ and are between the same parallels AP and BQ,

тИ┤Area (╬ФABQ) = Area (╬ФPBQ) тАж (1)

Again, ╬ФBCQ and ╬ФBRQ lieon the same base BQ and are between the same parallels BQ and CR.

тИ┤Area (╬ФBCQ) = Area (╬ФBRQ) тАж (2)

On adding equations (1)and (2), we obtain

Area (╬ФABQ) + Area (╬ФBCQ)= Area (╬ФPBQ) + Area (╬ФBRQ)

тЗТ Area (╬ФAQC) = Area (╬ФPBR)

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