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# 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.