خطا
$H={{90}^{\circ }}\Rightarrow {{A}_{2}}={{45}^{\circ }}\,,\,\widehat{{{B}_{2}}}={{45}^{\circ }}$ $B{{H}^{2}}+A{{H}^{2}}=A{{B}^{2}}\Rightarrow 2B{{H}^{2}}={{(3\sqrt{2})}^{2}}\Rightarrow B{{H}^{2}}=\frac{9\times 2}{2}=9\Rightarrow BH=3$ ${{S}_{\overset{\Delta }{\mathop{ABC}}\,}}=\frac{BH\times AC}{2}=\frac{3\times 6}{2}=9$