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is there a right triangle such that all 3 sides are integers? Thanks!

 Jun 4, 2020
 #1
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Uhh. I uhh... uhhh... is this a joke...?

 

A right triangle with all 3 sides as integers...

 

Yes. To answer your question. Yes lol.

 

Yay!

 Jun 4, 2020
 #2
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Here are a couple.       3.  4.   5

5.   12.   13

 Jun 4, 2020
 #3
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is there a right triangle such that all 3 sides are integers? Thanks! 

 

Yes.  3,4,5 is an example.  8,15,17 is another. 

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 Jun 4, 2020
 #4
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OMG IM SO SORRY i meant if they can all be odd integers im so sorry for the mistake

 Jun 4, 2020
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Look up. Pythagorean triples......   I think you will find there are none that are all odd # 's.......interesting.....

 Jun 5, 2020
 #6
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I know...but what is the proof that there are absolutely none with looking at the triples?

violetzhang07  Jun 5, 2020
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Say both legs are odd integers.....squares of all odd numbers are odd numbers too.....adding two odd numbers results in an even number ... the square root of an even number is an even number....

thus.  a^2 + b^2 = c^2.    Can never have all a and b and c as odd integers.

Guest Jun 5, 2020

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