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Pythagorean Quadruple

Stage: 3 and 4 Short Challenge Level: Challenge Level:1

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.
View the archive of all weekly problems grouped by curriculum topic