see this btw this may help.............
http://www.goiit.com/posts/list/analytical-geometry-a-st-line-intersects-equilateral-triangle-975442.htm
A straight line intersects equilateral triangle of unit length,dividing it into two parts S1 and S2 having equal perimeter having area A1 and A2.FIND max value of(A1/A2) AND min value of (A1/A2).
This one was solved some days back if i remember correctly..
I need to find out the link to the solution
see this btw this may help.............
http://www.goiit.com/posts/list/analytical-geometry-a-st-line-intersects-equilateral-triangle-975442.htm
this question was included in a comprehension in AITS(FIITJEE) last year also ! so seems to be a very popular question!