Area of an equilateral triangle is49$$\sqrt3$$​ Find the side of the triangle.

Correct option is B

Given:

The area of the equilateral triangle is$${ 49\sqrt{3} cm}^2$$​.
Formula Used:
Area of an equilateral triangle = $$\frac{\sqrt{3}}{4} \times \text{side}^2$$​​
Solution:
Let the side of the triangle = s .

​$$\frac{\sqrt{3}}{4} \times s^2 = 49\sqrt{3}$$​​


$$\frac{1}{4} \times s^2 = 49$$​​

​$$s^2 = 196$$​​
s = 14 cm
Thus, the side of the equilateral triangle is 14 cm.