Q. 3 4.1( 246 Votes )

In Fig. 6.18, if LM || CB and LN || CD, prove that

Answer :

Given: LM ll CB and LN ll CD
From the given figure:

LM || CB
Proportionality theorem: If a line is parallel to a side of a triangle which intersects the other sides into two distinct points, then the line divides those sides in proportion

Now, using basic proportionality theorem that the corresponding sides will have same proportional lengths, we get:


 And in ΔALN and ΔACD corresponding sides will be proportional 



From (i) and (ii), we obtain

Hence, Proved.

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