Question

Write the area of an equilateral triangle whose side is $6cm.$

• A. $9\sqrt{3}$ $c{m}^2$
• B. $18\sqrt{3}$ $c{m}^2$
• C. $6\sqrt{3}$ $c{m}^2$
• D. $3\sqrt{3}$ $c{m}^2$

Answer 1

The correct option is A $9\sqrt{3}$ $c{m}^2$

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

Hence, area of this equilateral triangle $=\frac{\sqrt{3}}{4}\times 6^2=9\sqrt{3}{cm}^2$