The perimeter of an equilateral triangle is 36 cm. What is the area of this triangle?
Answer & explanation
Correct answer: option 2
Given that,
The perimeter of a equilateral triangle = 36
and we know the perimeter = 3(side)
= 3(side) = 36
= side = 12
So the area of a equilateral triangle = \(\frac{\sqrt {3}}{4}\) × (side)2
= \(\frac{\sqrt {3}}{4}\) × (12)2 = $36 \sqrt{3}$ cm2