5. In a APQR, if PQ = 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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Answer:
the given triangle above is the required triangle
now as given PQ is equal to QR
point L and M are there mid points
hence by midpoint theorem
1) MN = 1/2 PQ
2) LN = 1/2 QR
now
PQ = QR
hence 1/2PQ = 1/2QR
hence MN = LN
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