If the area of an equilateral triangle is \(36\sqrt{3}\) cm2, then the length of the side is:
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → 12 cm
The area of an equilateral triangle of side \(a\) is \(\frac{\sqrt{3}}{4}a^2\), so the side is found by setting this equal to the given area.
\(\displaystyle \frac{\sqrt{3}}{4}a^2=36\sqrt{3}\)
\(a^2=144\)
\(a=12\) cm