• 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

 A) 3 cm

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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