Question

In the given figure,LM || CB and LN || CD.Prove that AM÷AB=AN÷AD.PLEASE ANSWER ME FAST.

Answer 1

first of all in tri.ABC& AML

angle MLA = BAC ( correspondence.)
angle MAL = MAL ( common)

so, tri. MLA is similar to tri. ABC

SO, AM/AB = AL/LC

NOW IN TRIANGLE ANL AND TRIANGLE ADC..
similarly =

AN/AD = AL/AC

SO , WE CAN SAY = AM/AB= AN/AD ..