triangle of numbers

Insert the numbers from 1 to 15 in the boxes below so that the subtraction of two numbers beside each other (their absolute value) results their above value. For example:
| K – L | = G | G-H | =D
| L-M | = H | H-I | =E
And so on.
The numbers can't be repeated and should not be zero.

http://mathhelpforum.com/image/png;b...BJRU5ErkJggg==

Quote:

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Originally Posted by phpbuilder2012

Insert the numbers from 1 to 15 in the boxes below so that the subtraction of two numbers beside each other (their absolute value) results their above value. For example:
| K – L | = G | G-H | =D
| L-M | = H | H-I | =E
And so on.
The numbers can't be repeated and should not be zero.

http://mathhelpforum.com/image/png;b...BJRU5ErkJggg==

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Hi, this is my solution:

5
4 9
7 11 2
8 1 12 10
6 14 15 3 13

:D

thanks so much

A triangular number is a figurate number: a number that can be represented by a ... The triangular numbers are found in the third diagonal of Pascal's triangle.

Now extend the triangle by adding a sixth row.
The problem can't be solved by using the numbers 1 - 21, but if you are given 1 - 22 and omit one (one of the numbers, not necessarily the number 1) it can be done.