Statement Comments have been different and interesting solutions. I will give a little mechanics, but that does not use any genius, or equations. Let's start by trying
Monday, January 3, 2011
He Washer Woolite Ok?
career rolling paper into a triangle
low numbers. If we put a 1 in 45 to 17, as needed 28 to get from 17 to 45, the number we put the other side of 17 should be larger than 28 units which we put the other side of 45. lowest numbers we can make are 1 and 29, and then the side of 45 will add 1 + 45 + 1 = 47 and the 17 added 1 + 17 + 29 = 47.
Furthermore, since these two numbers and 10 will be added as well as either side, the example is not worth as 1 + 10 + 29 = 40. We have to use somewhat larger numbers. When we increase a, we increase the other, so that the sum of the whole side of 10 will rise to 2, but the sum of the other sides will rise by only 1. To match, I will need to increase 7 times, so the first meeting will be numbers 8 and 36. 
In this first example, we will have 1 + 45 + 8 = 54, 1 + 17 + 36 = 54 and 8 + 10 + 36 = 54. We see that the three sides add 54.
Well, there are infinite solutions, since we can increase the numbers all you want, whenever we increase the same. Failure to do so, might not continue adding equal sides.
To join the three sides 80, as the amount increases by two units for every one that increasing numbers, we'll have to see how much needed to reach 54 to 80. As there are 26 units, enough to increase each number to 13. Thus, the numbers will be 14, 21 and 49. 's Check: 14 + 45 + 21 = 80, 14 + 17 + 49 = 80 and 21 + 10 + 49 = 80.
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