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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