Question

Find the area of an equilateral triangle with side 2√3 cm.

Answer 1

Area of equilateral triangle = √3/4 × a square
Area = √3 /4 × 2√3 square
= √3 / 4 × 12
= √3 × 3
Final area = 3√3 cm square ...
Hope it helps...

Answer 2

Answer:

The area of the given equilateral triangle with side $2 \sqrt{3} \mathrm{cm}$ is $3 \sqrt{3} c m^{2}$

Solution:

Equilateral triangle: The triangle which has equal sides. It is also known as equiangular i.e. all the internal angles are congruent to each other with $60^{\circ}$

The triangle given is an equilateral triangle so, the three sides of the triangle are same which is $a=2 \sqrt{3} \mathrm{cm}$

$\text { area of equilateral triangle } A=\frac{\sqrt{3}}{4} a^{2}$

$\therefore A=\frac{\sqrt{3}}{4}(2 \sqrt{3})^{2}$

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

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

The area of the triangle is   $3 \sqrt{3} c m^{2}$