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Answer :

[tex]\begin{gathered} c^2=a^2+b^2 \\ c=\sqrt[]{162} \\ \text{If } \\ A\cong B \\ a=b \\ b^2+b^2=c^2 \\ 2b^2=162 \\ b^2=\frac{162}{2} \\ b^2=81 \\ b=\sqrt[]{81} \\ b=9 \end{gathered}[/tex]

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