If `DeltaABC~DeltaPQR` with `(BC)/(QR)=1/3`,then `(ar(DeltaPRQ))/(ar(D – InterviewSolution

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1.	If `DeltaABC~DeltaPQR` with `(BC)/(QR)=1/3`,then `(ar(DeltaPRQ))/(ar(DeltaBCA))` is equal toA. 9B. 3C. `1/3`D. `1/9`
Answer» Given, `DeltaABC~DeltaPQR` and `(BC)/(QR)=1/3` We know that, the ratio of the areas of two similar triangles is equal to square of the ratio of their corresponding sides. `therefore(ar(DeltaPRQ))/(ar(DeltaBCA))=((QR)^(2))/((BC)^(2))=((QR)/(BC))^(2)`=(3/1)^(2)=9/1=9`

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