Question : If the side of an equilateral triangle is 16 cm, then what is its area?
Option 1: $81 \sqrt{3} \mathrm{~cm}^2$
Option 2: $48 \sqrt{3} \mathrm{~cm}^2$
Option 3: $32 \sqrt{3} \mathrm{~cm}^2$
Option 4: $64 \sqrt{3} \mathrm{~cm}^2$
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Correct Answer: $64 \sqrt{3} \mathrm{~cm}^2$
Solution :
Given: Sides of the triangle = 16 cm
Area of an equilateral triangle with sides $a$ = $\frac{\sqrt3}{4} (a)^2$
$=\frac{\sqrt3}{4}\times 16\times 16$
$= 64\sqrt{3}$
Hence, the correct answer is $64\sqrt3\ \mathrm{cm^2}$.
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