Question

find the length of each side of an equilateral triangles of area 4√3a³​

Answer 1

Answer:

Area of Equilateral triangle=

$4 \sqrt{3} {a}^{3} \\ area \: of \: an \: equilateral \: triangle \: of \: side \: \\ a = \frac{ \sqrt{3} }{4} \times {a}^{2} \\ \\ given \: area \: = area \: of \: formula \\ \frac{ \sqrt{3} }{4} \times {a}^{2} = 4 \sqrt{3} {a}^{3} \\ {a}^{3} = 16 \\ a = \sqrt[3]{16}$