Question

Repede,urgent!!!!!!! Aflați latura unui triunghi echilateral care are aria egală cu 121√3 ?!

Answer 1

   
[tex]\displaystyle\\ A_\Delta = \frac{l^2 \sqrt{3} }{4} \\\\ 121\sqrt{3} = \frac{l^2 \sqrt{3} }{4}\\\\ \frac{l^2 \sqrt{3} }{4}=121\sqrt{3} ~~~~~\Big|\cdot 4\\\\ l^2 \sqrt{3} = 4\cdot 121\sqrt{3}~~~~~\Big|:\sqrt{3}\\\\ l^2 = 4\cdot 121\\\\ l = \sqrt{4\cdot 121} =\sqrt{2^2\cdot 11^2} =2\cdot 11\\\\ \boxed{l \bf = 22}[/tex]