In a △ABC, if L and M are points on AB and AC respectively such that LM || BC. Prove that: (i)ar(△LCM)=ar(△LBM)(ii)ar(△LBC)=ar(△MBC)(iii)ar(△ABM)=ar(△ACL)(iv)ar(△LOB)=ar(△MOC).

In a △ABC, if L and M are points on AB and AC respectively such that

1.	In a △ABC, if L and M are points on AB and AC respectively such that LM \|\| BC. Prove that: (i)ar(△LCM)=ar(△LBM)(ii)ar(△LBC)=ar(△MBC)(iii)ar(△ABM)=ar(△ACL)(iv)ar(△LOB)=ar(△MOC).
Answer» In a $△ A B C,$ if L and M are points on AB and AC respectively such that LM \|\| BC. Prove that: $(i) a r (△ L C M) = a r (△ L B M) (i i) a r (△ L B C) = a r (△ M B C) (i i i) a r (△ A B M) = a r (△ A C L) (i v) a r (△ L O B) = a r (△ M O C) .$