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'Pythagorean Quadruple' printed from https://nrich.maths.org/

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Find distinct positive whole numbers $a$, $b$, and $c$, such that $a^2+b^2+c^2 = 11^2$.
 
 
If you liked this problem, here is an NRICH task which challenges you to use similar mathematical ideas.
 
 

This problem is taken from the UKMT Mathematical Challenges.
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