Triangle Sides Length: Perimeter 2002, Integers

[the4thcafeavenue]

ok here goes: what is the lesat possible length of a side of a triangle whose perimeter is 2002 and whose sides have integral (integer) lengths?

major help is needeeeedddd

 

[kreil]

Here is a hint...Given two sides of a triangle, the third must always be greater than the difference, but less than the sum

example: triangle with sides a, b, and c...a=3, b=4
c must be greater than 1, but less than 7