Q. 184.4( 13 Votes )

BM and CN are per

Answer :

draw LS perpendicular to line MN


the line BM , LS,CN being the same perpendiculars , on line MN are parallel to each other



We have , BL=LC (L is mid point of BC)


Using intercept theorem,


MS = SN………………(i)


Now in ∆MLS and ∆LSN


MS=SN


LSM=LSN = 90° ( LS perpendicular to MN) and SL=LS is common


∆MLS ∆LSN (SAS congruency )


LM= LN proved


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