The length of the altitude of an equilateral triangle is $6\sqrt{3}$ m. The perimeter of the equilateral triangle (in m) is:
Answer & explanation
Correct answer: option 3
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