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Calling all pythagoreans (Posted on 2006-07-03) Difficulty: 3 of 5
The triangle with sides 3, 4, and 5, is the smallest integer sided pythagorean triangle. Can you prove that in every such triangle:
  • at least one of its sides must be multiple of 3?
  • at least one of its sides must be multiple of 4?
  • at least one of its sides must be multiple of 5?

See The Solution Submitted by e.g.    
Rating: 5.0000 (1 votes)

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no Comment 7 of 7 |
no, because 3 4 5 is relative to the proportion of the sides to each other and not to divisibility by those particular numbers...



  Posted by zachary scott on 2006-07-09 13:45:12
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