Challenging Triangle Problem
Either number 1, 2, 3, or 4 is a correct statement. Choose which statement is correct.
Given triangle ABC with integer side lengths a and b and integer area K, side c is an integer if an only if
- (ab+2K)(ab-2K) is a perfect square
- (ab^2c^3)/K is a multiple of 6
- a and b are divisible by K
- side c is equal to 8