The length of the altitude of an equilateral triangle is $6\sqrt{3}$ m. The perimeter of the equilateral triangle (in m) is:

$12\sqrt{2}$ $36\sqrt{2}$ 36 $24\sqrt{3}$

36

Length of the altitude of an equilateral triangle = \(\frac{\sqrt {3}}{2}\) × (side) So, according to the question, Length of the altitude = $6\sqrt{3}$  \(\frac{\sqrt {3}}{2}\) × (side) = $6\sqrt{3}$  side = 12 Then the perimeter = 3 × side = 3 × 12 = 36 cm