Question

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

Answer 1

To Prove: $\frac{AM}{AB}=\frac{AN}{AD}$

In the given figure, LM || CB
By using the basic proportionality theorem, we obtain

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

Similarly, LN || CD
∴$\frac{AN}{AD}=\frac{AL}{AC}$ ......(ii)

From (i) and (ii) we obtain
$\frac{AM}{AB}=\frac{AN}{AD}$

Hence Proved