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

Guest Apr 24, 2021

#1**+1 **

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

CPhill Apr 24, 2021

#2**+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.

Guest Apr 24, 2021