Question

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

Answer 1

Answer:

In △ABC,

LM∥BC ∴ By proportionality theorem,

ABAM = ACAL

Similarly,

In △ADC,

LN∥CD

∴ By proportionality theorem,

ADAN = ACAL

∴ from (1) and (2),

ABAm = ADAN