Question
Using the given pattern, find the missing numbers.
$1^2+2^2+2^2=3^2, \quad 2^2+3^2+6^2=7^2$,
$3^2+4^2+12^2=13^2, \quad 4^2+5^2+\_^2=21^2$,
$5^2+{ }\_^2+30^2=31^2, \quad 6^2+7^2+{ }\_^2=\_^2$

Answer

The missing numbers are as follows:
$ \begin{array}{l} 4^2+5^2+20^2=21^2, \quad 5^2+6^2+30^2=31^2 \\ 6^2+7^2+42^2=43^2 \end{array}$

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