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In the figure, if LM || CB and LN || CD, prove that AM/AB = AN/AD

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In the figure, if LM || CB and LN || CD, prove that AM/AB = AN/AD

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

By using basic proportionality theorem, we get,

AM/AB = AL/AC    …………..(i)

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

∴ AN/AD = AL/AC ……………(ii)

From equation (i) and (ii), we get,

AM/AB = AN/AD

Hence, proved.

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