Question

The area of an equilateral triangle with side $2\sqrt{3}cm$ is ________.

• A. $5.196c{m}^2$
• B. $0.866c{m}^2$
• C. $3.496c{m}^2$
• D. $1.732c{m}^2$

Answer 1

The correct option is A $5.196c{m}^2$

Given, side of an equilateral triangle is $2\sqrt{3}cm$.
Area of an equilateral triangle $=\frac{\sqrt{3}}{4}(side{)}^2$
$=\frac{\sqrt{3}}{4}(2\sqrt{3}{)}^2=\frac{\sqrt{3}}{4}\times 4\times 3=3\sqrt{3}=3\times 1.732=5.196c{m}^2$
Hence, the area of an equilateral triangle is 5.196 ${cm}^2$.