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What is a right triangle that has 22 as one of it's sides? It's sides must be integer lengths. 

 Apr 24, 2021
 #1
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Note  that sides of  11, 60 , 61  form a right  triangle

 

Any integer  multiple of these also forms a right triangle

 

So

 

2(11)   ,  2(60)  ,  2 (61)   =

 

22   ,    120  ,   122    form  a right triangle

 

 

cool cool cool

 Apr 24, 2021
 #2
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+1

 

What is a right triangle that has 22 as one of it's sides? It's sides must be integer lengths. 

 

If all sides are integers, that's called a Pythagorean Triple. 

If you look at the linked webpage, there are no Pythagorean Triples with a side 22.  

https://www.avc.edu/sites/default/files/studentservices/lc/math/pythagorean_triples.pdf  

 

If there had been one with a side of 11, we could have just doubled all the sides,  

but there isn't one of those either.  

 

If this is to be a Pythagorean Triiple, with one side 22, then at least one of the other  

sides would have be be greater than 50.  I don't know how to find the other sides,  

by a method other than brute force. 

 Apr 24, 2021

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