easy geometry conjecture question?

Question

the problem is (I'm stumped!):

The midsegment of a triangle divides two sides of the triangle into two congruent segments. Make a conjecture about the lengths of parallel segments that divide two sides of a triangle into 4 congruent segments.

Thanks in advance!

Answer 1

Three new triangles are formed. They are similar to each other, having two sides in a ratio of 1 : 2 : 3. Hence their third sides, the parallel segments are also in a ratio of 1 : 2 : 3.

Here's the pic:

http://s236.photobucket.com/albums/ff177/jsardi56/?action=view¤t=similartriangles10-16-07.jpg