Question

If the area of equilateral triangle is
$\sqrt[16]{3}$
then find its perimeter.

Answer 1

Area of an Equilateral triangle = \frac{ \sqrt{3} }{4}43​​ a²
a = side of each side of the triangle
Now equating,
\frac{ \sqrt{3} }{4}43​​ a² = 36√3
a² = \frac{36 \sqrt{3}* 4}{ \sqrt{3} }3​363​∗4​ [√3 gets cancelled]
a² = 36×4
a = √6×6×2×2 = 12cm

Hence, side= 12cm

Perimeter = (Side + Side + Side)
               = (12 + 12 + 12) cm = 36 cm (answer)