در حال بارگذاری...

خطا

$\begin{align}  & \overset{\Delta }{\mathop{AHC}}\,:\left\{ \begin{matrix}   \cos {{30}^{\circ }}=\frac{CH}{AC}\Rightarrow CH=\frac{\sqrt{3}}{2}AC=\frac{\sqrt{3}}{2}\times 6=3\sqrt{3}  \\   \sin {{30}^{\circ }}=\frac{AH}{AC}\Rightarrow AH=\frac{1}{2}AC=\frac{1}{2}\times 6=3  \\\end{matrix} \right. \\  & \overset{\Delta }{\mathop{ABH}}\,:B{{H}^{2}}=A{{B}^{2}}-A{{H}^{2}}={{5}^{2}}-{{3}^{2}}=16\Rightarrow BH=4 \\  & \Rightarrow BC=BH+CH=4+3\sqrt{3} \\ \end{align}$