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The area of an equilateral triangle is \( \Large \Large \frac{\sqrt{243}}{4} \)sq cm. Find the length of its side.
A) 3 cm
B) \( \Large 3\sqrt{3} \)cm
C) 9 cm
D) \( \Large \sqrt{3} \)cm
Correct answer:
A) 3 cm
Description for Correct answer:
According to the question,
\( \Large \frac{\sqrt{3}}{4}a^{2}=\frac{\sqrt{243}}{4} \)
=> \( \Large a^{2}=\frac{\sqrt{81\times 3}}{\sqrt{3}}=\frac{9\sqrt{3}}{\sqrt{3}} \)
a=\( \Large \sqrt{9} \)=3cm
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