Let P be a point in triangle ABC such that angles APB, BPC, and CPA are all 120 degrees. Can lines AB, AC, BC, PA, PB, and PC all have integral lengths?

(In reply to on another look by xdog)

Oooops!!!

I almost fotgot c,your modification is correct,even now if we put

D=-3*y^2 + 4*c^2=0
Then
(sqrt 3)*y=(sqrt 4)*c
Again both can't be integers at the same time
Similarly for other other variables

Posted by Nishant on 2007-04-13 10:21:29