a
/ \
b  c
/ \ / \
d  e  f
/ \ / \ / \
g  h  i  j

 Can you place the numbers 16 at the locations af on the triangle, such
that every triangle (there are 5: abc, bde, bed, cef, adf)
has a different sum, by adding the corners of each triangle?
[This is not too hard, and it's interesting to note that once a
solution is found, the additional three sums of the sides of the adf
triangle
are also different. This is similar to the "Sums on a Cube" question of
putting
a different number on each side of a cube to create unique sums at the
corners.]
 Can you place the numbers 110 at the locations aj on the triangle, such
that every triangle (there are 13) has a different sum?
Consecutive sums?
