Question : The area of an equilateral triangle is 173.2 cm2. Its side will be __________.
Option 1: 20 cm
Option 2: 22 cm
Option 3: 17.32 cm
Option 4: 21.32 cm
Correct Answer: 20 cm
Solution : The area of an equilateral triangle is 173.2 cm 2 . Let $a$ be the side of an equilateral triangle. $\frac{\sqrt3a^2}{4} = 173.2$ ⇒ $a^2 = \frac{173.2×4}{1.732}$ ⇒ $a^2=400$ ⇒ $a=20$ Hence, the correct answer is 20 cm.
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