Question : Find the area of an equilateral triangle whose sides are 12 cm.
Option 1: $38 \sqrt{3} \mathrm{~cm}^2$
Option 2: $35 \sqrt{3} \mathrm{~cm}^2$
Option 3: $34 \sqrt{3} \mathrm{~cm}^2$
Option 4: $36 \sqrt{3} \mathrm{~cm}^2$
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Correct Answer: $36 \sqrt{3} \mathrm{~cm}^2$
Solution :
Side of triangle $= 12 \ \text{cm}$
Area of an equilateral triangle $= \frac{\sqrt{3}}{4} \times \text{Side}^2= \frac{\sqrt{3}}{4} \times 12 \times 12= 36\sqrt{3} \ \text{cm}^2$
Hence, the correct answer is $ 36\sqrt{3} \ \text{cm}^2$.
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