Q. 135.0( 5 Votes )

# In a triangle ABC

Answer :

Since BL||DN||CM and D is midpoint of BC, by using the theorem:-

If three or more parallel straight lines make equal intercepts from a traversal, then they will make equal intercepts from another traversal.

⇒ LN = MN

In ΔDLN and ΔDMN,

DN = DN (common)

∠DNL = ∠DNM = 90° (given)

LN = MN (proved above)

∴ ΔDLN ≅ ΔDMN by SAS congruency.

As a result of it, DL = DM

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