A triple of positive integers is defined to be a Pythagorean triple if and only if the sum of squares of the two of them equals the square of the third. If triangle S has sides whose lengths form a Pythagorean triple and triangle R has sides whose lengths are integers, do the side lengths of triangle R form a Pythagorean triple?
1. R has area which is a multiple of the area of S.
2. R and S are similar triangles.