$ \begin{cases}  SH \parallel MA , HI \Rightarrow \hat{H}=\hat{M} \\ SI \parallel AD , HI \Rightarrow \hat{I} = \hat{D} \end{cases} \Rightarrow SHI \sim AMD \\ \frac{S_{AMD}}{S_{SHI}} = \frac{81}{289} \Rightarrow \sqrt{\frac{81}{289}}=\frac{9}{17} \\ \Rightarrow\frac{9}{17} $