Question

in ∆PQR, if PQ =QR and L ,M and N are the mid-point of the sides PQ ,QR and RP respectively. Prove that LN=MN​

Answer 1

Answer:

Step-by-step explanation:

To prove : LM = MN

Proof : In ∆LPN and ∆MRH

PN = RN (∵ M is mid point of PR)

LP = MR (Half of equal sides)

∠P = ∠R (Angles opposite to equal sides)

∴ ALPN ≅ AMRH (SAS axiom)

∴ LN = MN (c.p.c.t.)