In the adjacent figure, if LM || CB and LN || CD, prove that  - Zigya
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In the adjacent figure, if LM || CB and LN || CD, prove that AM over AB equals AN over AD


In ∆ABC, we have
LM || CB
space space AL over AC space equals space AM over AB space space space space space space space space space space space space space... left parenthesis straight i right parenthesis
[Using Basic proportionality theorem]
IN ∆ADC, We have
                  LN || CD
rightwards double arrow             space AL over AC equals AN over AD space space... left parenthesis ii right parenthesis
[Using Basic proportionality theorem]
From (i) and (ii), we have
AM over AB equals AN over AD        proved.
[Converse of Basic proportionality theorem]

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