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Answer:
[tex] {c}^{2} = {a}^{2} + {b}^{2} \\ {c}^{2} = ({7 \sqrt{2}) }^{2} + ( {7 \sqrt{2} ) }^{2} \\ {c}^{2} = 2(49 \times 2) \\ {c}^{2} = 196 \\ c = \sqrt{196} \\ c = 13 \: units[/tex]