Question

What is the area of an equilateral triangle having altitude equal to $2\sqrt{3}cm$?

• A. $\sqrt{3}$ square cm
• B. $2\sqrt{3}$ square cm
• C. $3\sqrt{3}$ square cm
• D. $4\sqrt{3}$ square cm

Answer 1

The correct option is D $4\sqrt{3}$ square cm

Altitude of equilateral triangle $=\frac{side\sqrt{3}}{2}=2\sqrt{3}$
$\therefore side=4$
$\therefore$ Area of equilateral triangle
$=\frac{sid{e}^2\times \sqrt{3}}{4}=\frac{4\times 4\times \sqrt{3}}{4}c{m}^2=4\sqrt{3}c{m}^2$