Question: If we are given six points in a triangle of area 1, three of them form a triangle whose area is less than or equal to 0.25

I know this must be solvable by pigeonhole principle but I just can't figure out how many parts I should divide the bigger triangle into. If i make 3 buckets, it's useless. If i make 2 buckets it still doesn't help.

Any help is appreciated.