question_answer

In a right angled triangle ABC, \[\angle B\]is right angle side AB is half of the hypotenuse. AE is parallel to median BD and CE is parallel to BA. What is the ratio of length of BC to that of EC?

A)  \[\sqrt{2}:1\]                

B)  \[\sqrt{3}:2\]

C)  \[\sqrt{5}:\sqrt{3}\]                   

D)  \[\sqrt{3}:4\]

E)  None of these