Question:
In the following figure, if LM || CB and LN || CD, prove that \(\frac{AM}{AB}=\frac{AN}{AD}\)
In the following figure, if LM || CB and LN || CD, prove that \(\frac{AM}{AB}=\frac{AN}{AD}\)
Updated On: Nov 2, 2023
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Solution and Explanation
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
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