triangle abc is similar to triangle pqr such that ab: pq is 1:3. if perimeter of abc is 15 then find the perimeter of pqr
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Answer:
Let AD be the perpendicular dropped from A to the side BC and PS be the perpendicular dropped from P to the side QR respectively.
Since, ΔABC∼ΔPQR, we have ΔABD∼ΔPQS.
Therefore, PQAB=PSAD=QRBC
⇒arΔPQRarΔABC=PS×QRAD×BC=PQAB×PQAB=PQ2AB2=91


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