.
     /a\
    .---.
   /b\c/d\
  .---.---.
 /e\f/g\h/i\
.---.---.---.

1. Can you place the numbers 1-9 in the locations a-i on the triangle, such that every row of 5 smaller triangles (there are 3: abcef, acdhi, efghi) has the same sum? How many different sums are possible?
2. Can you place the numbers 1-9 in the locations a-i on the triangle, such that the six rows (three of 5 triangles, three of 3 triangles) have different sums? Consecutive sums?