Question
In the adjacent figure, if LM || CB and LN || CD, prove that 
Solution
In ∆ABC, we have
LM || CB
[Using Basic proportionality theorem]
IN ∆ADC, We have
LN || CD
[Using Basic proportionality theorem]
From (i) and (ii), we have
proved.
[Converse of Basic proportionality theorem]
LM || CB
[Using Basic proportionality theorem]
IN ∆ADC, We have
LN || CD
[Using Basic proportionality theorem]
From (i) and (ii), we have
proved.[Converse of Basic proportionality theorem]
