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In Fig. 6.18, if LM || CB and LN || CD, prove that AM / AB= AN / AD

Q3  In Fig. 6.18, if LM || CB and LN || CD, prove that \frac{AM}{AB} = \frac{AN}{AD }

       
 

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Given : LM || CB and LN || CD

To prove : 

                  \frac{AM}{AB} = \frac{AN}{AD }

Since , LM || CB so we have 

\frac{AM}{AB}=\frac{AL}{AC}.............................................1

Also, LN || CD

\frac{AL}{AC}=\frac{AN}{AD}.............................................2

 

From equation 1 and 2, we have 

\frac{AM}{AB} = \frac{AN}{AD }

Hence proved 

 

 

 

 

 

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