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Question

In ∆PQR, M and N are points on sides PQ and PR respectively such that PM = 15 cm and NR = 8 cm. If PQ = 25 cm and PR = 20 cm state whether MN || QR.

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Solution

Given and .

PMPQ=15cm25cm=35PNPR=12cm20cm=35 PN=PR-NR=20-8=12cmPMPQ=PNPR

So, by the converse of basic proportionality theorem MN || QR.


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