Question

If the area of an equilateral triangle is $36\sqrt{3}c{m}^2$, Then find the perimeter of the triangle is

• A.
  24 cm
• B.
  36 cm
• C.
  12 cm
• D.
  38 cm

Answer 1

The correct option is B

36 cm
Given, area of an equilateral triangle $=36\sqrt{3}c{m}^2$

Area of an equilateral triangle $=\sqrt{3}/4\left(side{)}^2\sqrt{3}/4\right(side{)}^2=36\sqrt{3}\Rightarrow (Side{)}^2=144\Rightarrow Side=12cm$

[Taking positive square root because side is always positive]

Perimeter of an equilateral triangle $=3\times Side=3\times 12=36cm$

Hence, the perimeter of an equilateral triangle is 36 cm.

So, option b is correct.