Question
Find the area of the equilateral triangle whose side is 108 cm. (In cm²)
This question was previously asked in
RPF Constable 2018 Question Paper PDF (16-Feb-2019) (Shift 2)
The correct answer is
2916√3
2916√3 is correct.
An equilateral triangle has all three sides equal and every angle equal to 60°, and its height is √3/2 times the side.
Area of an equilateral triangle of side \(a\) is \(\dfrac{\sqrt{3}}{4}a^2\).
\(\dfrac{\sqrt{3}}{4}\times 108^2=\dfrac{\sqrt{3}}{4}\times 11664=2916\sqrt{3}\) cm².
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