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'Pythagorean Quadruple' printed from http://nrich.maths.org/
Can you 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.