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Three relatively prime integers are the sides of a right triangle. If the smallest leg has length 28, find the sum of all the possible values of the hypotenuse.

 Jun 13, 2019
 #1
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Here are all the relatively prime sides of a right triangle up to a 1,000,000:
53, 28, 45
197, 28, 195

Sums of Hypotenuse: 53 + 197 = 250

 Jun 13, 2019
 #2
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There are a total of four:

 

1 - 35, 21, 28
2 - 53, 45, 28
3 - 100, 96, 28
4 - 197, 195, 28

But, numbers 1 and 3 are NOT relatively prime.

 Jun 13, 2019

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