"In the history of the United States, carpetbagger was a derogatory term applied by Southerners to opportunistic Northerners who came to the Southern states after the American Civil War, who were perceived to be exploiting the local populace for their own financial, political, and/or social gain."
for a triangle to be possible, we must have
where a b and c are all real positive integer side lengths.
the smallest possible number is 3, because that evenly divides into 1,1, and 1.
similarly, we have 4, 1,1, and 2, because either way you end up with the same iscocolese triangle.
we have 5, which has to be 1,2,2, not 1,1,3, because 1+1 is not greater than 3.
then we have 6, which has to be 2,2,2, because 1,2,3 and 1,1,4 does not work for the same reason as 5.
for any number above 6, it works beacuse there are different ways to arrange the side lengths.
hope that helped :)