A F E D B C
BD=73, CE=80, AF= 34
area triangle BCD = 6132
area triangle CDE = 6000
area triangle DEF = 12960
area triangle AEF = 2040
the inside of triangle ABC can be similarly rearranged for another 51 cases!
By similarly, I mean all areas and triangle sides are integers.
Thought that was VERY interesting!