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PQRS is a parallclogram such that PQ is parallel to SR and SP is parallel to RQ. The length of side PQ is 20 cm. M is point between P and Q such that the length of PM is 3 cm. N is a points between points S and R. Find the length of SN such that segmen MN divides the paralelogram in two regions with equal areas. |
Answer» Let h be the perpendicular distance between PQ and SR. Since PQ = 20 cm and PM = 3 cm `thereforeMQ=20-3=17cm` Also, `SR=PQ=20cm" "("becauseopposite sides of a parallelogram are equal")` Now, `ar(Trap.PMNS)=ar(Trip.MQRN)(given)` `implies" "1/2xxh(PM+SN)=1/2xxh(MQ+NR)` `implies" "3+SN=17+(SR-SN)` `implies" "2.SN=17+20-3=34` `=" "SN =17cm.` |
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