Question

In the fig. if LM II CB and LN II CD, prove that

AM

MB

=

AN

ND​

Answer 1

Answer: By Thales theorem or basic proportionality Theorem

IN∆ABC

LM||BC so by B.P.T

AL/AC=AM/AB-----------(1)

IN∆ADC

AL/LC=AN/AD------(2)

from equation 1 &2 L.H.S is the same so R.H.S will also same.

so

AM/AB=AN/AD

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