If the area of an equilateral triangle is $36 \sqrt{3}$ cm2, then the perimeter of the triangle is:
Answer & explanation
Correct answer: option 2
The area of an equilateral triangle = $36 \sqrt{3}$ cm2
We know that,
Area of a equilateral triangle = \(\frac{\sqrt {3}}{4}\) × (side)2
$36 \sqrt{3}$ = \(\frac{\sqrt {3}}{4}\) × (side)2
(side)2 = 144
side = 12
Then the perimeter = 12 × 3 = 36 cm