Question : If the side of an equilateral triangle is 16 cm, then what is its area?
Option 1: $81 \sqrt{3} \mathrm{~cm}^2$
Option 2: $48 \sqrt{3} \mathrm{~cm}^2$
Option 3: $32 \sqrt{3} \mathrm{~cm}^2$
Option 4: $64 \sqrt{3} \mathrm{~cm}^2$
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Correct Answer: $64 \sqrt{3} \mathrm{~cm}^2$
Solution : Given: Sides of the triangle = 16 cm Area of an equilateral triangle with sides $a$ = $\frac{\sqrt3}{4} (a)^2$ $=\frac{\sqrt3}{4}\times 16\times 16$ $= 64\sqrt{3}$ Hence, the correct answer is $64\sqrt3\ \mathrm{cm^2}$.
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Question : The height of an equilateral triangle is $9 \sqrt{3} \mathrm{~cm}$. What is the area of this equilateral triangle?
Question : Find the area of an equilateral triangle whose sides are 16 cm.
Question : The perimeter of an equilateral triangle is 48 cm. Find its area (in cm2).
Question : The side of an equilateral triangle is 36 cm. What is the radius of the circle circumscribing this equilateral triangle?
Question : The centroid of an equilateral triangle PQR is L. If PQ = 6 cm, the length of PL is :
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