Two diagonals of a parallelogram have lengths 6 and 8 . What is the largest possible length of the shortest side of the parallelogram? (it isn't 3 btw)

I'm not entirely sure, but I think that the largest possible length of the shortest side occurs when it's a rhombus.

Therefore, every side will be sqrt(3^2+4^2)=5, so 5's our answer