Question : If the length of the side of an equilateral triangle is 8 cm, what is its area (in cm2)?
Option 1: $32\sqrt{3}$
Option 2: $16$
Option 3: $16\sqrt{3}$
Option 4: $32$
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Correct Answer: $16\sqrt{3}$
Solution :
The area of an equilateral triangle with side length $a$,
$= \frac{\sqrt{3}}{4}a^2$
On substituting $a$ = 8 cm,
The area of an equilateral triangle
$= \frac{\sqrt{3}}{4} \times 8^2 = 16\sqrt{3} \text{ cm}^2$
Hence, the correct answer is $16\sqrt{3}$.
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