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In ΔPQR, NM || RQ. If PM = 15, MQ = 10, NR = 8, then find PN. - Geometry Mathematics 2

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प्रश्न

In ΔPQR, NM || RQ. If PM = 15, MQ = 10, NR = 8, then find PN.

योग
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उत्तर

In ΔPQR, NM || RQ  ......[Given]

∴ `(PN)/(NR) = (PM)/(MQ)` …...[Basic proportionality theorem]

∴ But PM = 15, MQ = 10, NR = 8 (Given)

∴ Equation (i) becomes,

`(PN)/8 = 15/10`

 PN = `(15 xx 8)/10`

= `(15 xx 4)/5`

= `3 xx 4`

∴ PN = 12 units

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