[tex]\alpha+60^\circ+90^\circ=180^\circ\\\alpha+150^\circ=180^\circ\\\alpha=180^\circ-150^\circ\\\alpha=30^\circ\\sin60^\circ=\frac{8}{c} \\\frac{\sqrt{3} }{2} =\frac{8}{c}\\c=\frac{16}{\sqrt{3} } \\c=\frac{16\sqrt{3} }{3} \approx9,24cm\\tg60^\circ=\frac{8}{a} \\\sqrt{3} =\frac{8}{a} \\a=\frac{8}{\sqrt{3} } \\a=\frac{8\sqrt{3} }{3} \approx4,62 cm[/tex]
