Question

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In a ∆PQR, if PQ=QR and L, M and N are mid points of PQ, QR and RP respectively. Prove that LN=MN

Answer 1

Answer:

In ∆PQR. PQ=QR(given). angle R= angle P(angle opp. equal side). =1/2PQ= 1/2QR. =PL= MR. In ∆MRN and ∆LPN. PL =MR angle R= angle P. PN=NR(N is the midpoint of PR). .:∆MRN~=∆LPN(SAS). = MN=LN(c.p.c.t)