The length of each side of an equilateral triangle is $$2\sqrt[4]{3}$$​ cm. What is the area of this triangle?

Correct option is B

Given:

Length of each side of the equilateral triangle = $$2\sqrt[4]{3}$$ cm ​

Required: Find the area of the equilateral triangle.

Formula Used:
The area of an equilateral triangle is given by the formula:

Area = $$\frac{\sqrt{3}}{4} \times a^2$$​

Where a is the length of the side of the triangle.

Solution:

Area $$= \frac{\sqrt{3}}{4} \times (2\sqrt[4]{3})^2$$

= $$\frac{\sqrt{3}}{4} \times 4 \sqrt 3$$ = 3 sq. cm.