Consider triangle PQR. What is the length of side QR?
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The ratio of perimeter of the triangle PRQ and triangle RSQ.The angle QRS= angle QPR is only common with similar to triangle SQR by AA.
There will be apply the condition for similar triangle due to QR/QS=RP/SR=PQ/RQ, 20/16=x/8=y/20 and x=10,y=25.
This solution is perimeter of triangle PRQ=55 and SRQ=44 and the ratio=5:4
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