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In DeltaPQR, PM=15, PQ=25, PR=20, NR=8. ...

In `DeltaPQR, PM=15, PQ=25, PR=20, NR=8`. State whether line NM is parallel to side RQ or not. Given Reason.

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`PM=15, PQ=25, PR=20` and `NR=8`
`PM+MQ=PQ`……………`(P-M-Q)`
`:.15+MQ=25`
`:.MQ=25-15 :. MQ=10`
`PN+NR=PR…(P-N-R)`
`:.PN+8=20`
`:.PN=20-8 :.PN=12`
`(PN)/(NR)=12/8=3/2`……..1
`(PM)/(MQ)=15/10=3/2`………2
In `DeltaPRQ`
`(PN)/(NR)=(PM)/(MQ)`......[From 1 and 2]
`:.` by converse of basic proportionality theorem line `NM||` side RQ.
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