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In `DeltaMNP, NQ` is a bisector of `/_N`. If `MN=5, PN=7, MQ=2.5,` the find QP.

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In `DeltaMNP, NQ` is a bisector of `/_N`. If `MN=5, PN=7, MQ=2.5,` the find QP.
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In `DeltaMNP` ,
ray `NQ` is the bisector of `/_MNP`
`:.` by the theorem of angle bisesctor of a triangle,
`(MN)/(NP)=(MQ)/(QP)`
`:.(5)/(7)=(2.5)/(QP)`
`:.QP=(7xx2.5)/(5) :. Qp=3.5`
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