PUZZLET 024

Triplets of Integers Summing to a Square

Find three different 2-digit integers such that the sum of any two of them is a perfect square.

Example: 12, 52, 69.12 + 52 = 8², 12 + 69 = 9², 52 + 69 = 11².

Find every possible triplet with these properties.

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Last Updated: January 7th, 2010.