Răspuns:
Explicație pas cu pas:
[tex]r = \frac{l \sqrt{3} }{6} \leftrightarrow 4 \sqrt{3} = \frac{l \sqrt{3} }{6} \leftrightarrow \frac{l \sqrt{3} }{6} = 4 \sqrt{3} \\ [/tex]
[tex]l = \frac{6}{ \sqrt{3} } \times 4 \sqrt{3} = 6 \times 4 = 24cm \\ [/tex]
[tex]\mathcal{A_{triunghi}} = \frac{l {}^{2} \sqrt{3} }{4} = \frac{24 {}^{2} \sqrt{3} }{4} = \frac{576 \sqrt{3} }{4} =\boxed{ 144 \sqrt{3} cm {}^{2} }\\ [/tex]
