Question : The length of each side of an equilateral triangle is 22 cm. Find the area (in cm2) of this triangle.
Option 1: 121
Option 2: $242 \sqrt{3}$
Option 3: $121 \sqrt{3}$
Option 4: 242
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Correct Answer: $121 \sqrt{3}$
Solution :
Side of an equilateral triangle, $a$ = 22 cm
$\therefore$ Area of the equilateral triangle $=\frac{\sqrt3a^2}{4}=\frac{\sqrt3×22^2}{4}=121\sqrt3$ cm
2
Hence, the correct answer is $121\sqrt3$ cm
2
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