x=60°
[tex]s(aria) = 8 \sqrt{3} [/tex]
Formula ariei:
[tex]s = {l}^{2} \times \sin(x) [/tex]
Inlocuim:
[tex]8 \sqrt{3} = {l}^{2} \times \sin(60) [/tex]
[tex]8 \sqrt{3} = {l}^{2} \times \frac{ \sqrt{3} }{2} [/tex]
[tex]{l}^{2} = \frac{8 \sqrt{3} }{ \frac{ \sqrt{3} }{2} } [/tex]
[tex] {l}^{2} = \frac{8 \sqrt{3} }{1 } \times \frac{2}{ \sqrt{3} } [/tex]
[tex] {l}^{2} = \frac{8 \sqrt{3} \times 2 }{ \sqrt{3} } [/tex]
[tex] {l}^{2} = \frac{16 \sqrt{3} }{ \sqrt{3} } [/tex]
[tex] {l}^{2} = 16[/tex]
[tex]l = \sqrt{16} [/tex]
[tex]l = 4[/tex]
sper ca e ok.
