Question

Find the area of an equilateral triangle whose side is $4$ cm.

• A. $5\sqrt{3}$ sq. cm
• B. 9 sq cm
• C. $4\sqrt{3}$ sq. cm
• D. $6\sqrt{3}$ sq. cm

Answer 1

Answer: (C)

$4\sqrt{3}$ sq. cm

From question,

side length of the equilateral triangle $=4$ cm

We know that,

Area of an equilateral triangle = $\frac{\sqrt{3}}{4}\times {\text{side}}^2$

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

$=\frac{\sqrt{3}}{4}\times 16$

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

Hence, the area of the equilateral triangle is $4\sqrt{3}$ sq. cm.