a
/ \
b - c
/ \ / \
d - e - f
/ \ / \ / \
g - h - i - j
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- Can you place the numbers 1-6 at the locations a-f 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 a-d-f
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 1-10 at the locations a-j on the triangle, such
that every triangle (there are 13) has a different sum?
Consecutive sums?
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