Given and are the vertices of and respectively then show that the triangles are directly similar if

Sol:

I tried out by saying that the and are similar if the ratio of their sides are proportional and the so we have

-- (Eq 1)

-- (Eq 2)

From Eq 1 and Eq 2 we can conclude that the complex numbers

rearranging and solving this I cannot conclude that

Can you let me know the mistake with my arguement.

Thanks and Regards,

~Kalyan.