In the figure, if LM || CB and LN || CD, prove that \(\frac{AM}{AB} = \frac{AN}{AD}\).

In the given figure, we can see, LM || CB,

By using basic proportionality theorem, we get,

\(\frac{AM}{AB} = \frac{AL}{AC}\)…………………….. (i)

Similarly, given, LN || CD and using basic proportionality theorem,

\(\frac{AN}{AD} = \frac{AL}{AC}\)……………………………(ii)

From equation (i) and (ii), we get,
\(\frac{AM}{AB} = \frac{AN}{AD}\)

Hence, proved.