Remove parentheses.
\[{4}^{2}+{5}^{2}+{}^{2}={21}^{2}\]
Simplify \({4}^{2}\) to \(16\).
\[16+{5}^{2}+{}^{2}={21}^{2}\]
Simplify \({5}^{2}\) to \(25\).
\[16+25+{}^{2}={21}^{2}\]
Simplify \({21}^{2}\) to \(441\).
\[16+25+{}^{2}=441\]
Simplify \(16+25\) to \(41\).
\[41+{}^{2}=441\]
Since \(41+{}^{2}=441\) is false, there is no solution.
[No Solution]
