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In triangle PQR,PO=QR and L,M and N are the mid points of the sides PQ,QR a

In triangle PQR,PO=QR and L,M and N are the mid points of the sides PQ,QR and RP respectively prove that LN =MN

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A)

PQ = QR , L is mid point of PQ,M is midpoint of QR and N is the mid point of PR 

PQ = QR 
⇒∠PRQ =∠RPQ
PQ = 2PL
QR = 2MR
PQ = QR ⇒ PL =MR

IN ΔPLN and ΔRMN
PN  NR
∠PRQ = ∠RPQ
PL = MR

LM = MN 

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