Question

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

Answer 1

Answer:

Step-by-step explanation:

In Δ ABC

AM /MB = AL/LC          (1)

In Δ ACD

AL/LC = AN/ND            (2)

⇒AM/MB = AN/ND        (from 1 and 2)

Answer 2

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

By using basic proportionality theorem, we get,

AM/MB = AL/LC …..(i)

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

∴ AN/AD = AL/LC ……(ii)

From equation (i) and (ii), we get,

AM/MB = AN/AD

Hence, proved.