Question

find the area of the equilateral triangle of an equilateral triangle side 4 cm​

Answer 1

$\Large{\underline{\underline{\bf{Solution :}}}}$

☯ Given :

Side of equilateral triangle is 4 cm.

$\rule{200}{1}$

☯ To Find :

We jave to find the area of the equilateral triangle whose side is 4 cm.

$\rule{200}{1}$

We know that,

$\Large{\implies{\boxed{\boxed{\sf{Area = \frac{\sqrt{3}}{4} \times a^2}}}}}$

Where,

• a is the side of equilateral triangle.

Put values in above written formula.

$\sf{\rightarrow Area = \frac{\sqrt{3}}{4} \times (4)^2} \\ \\ \sf{\rightarrow Area = \frac{\sqrt{3}}{\cancel{4}} \times 4 \times \cancel{4}} \\ \\ \sf{\rightarrow Area = 4 \times \sqrt{3}} \\ \\ \bf{We \: know \: that,} \\ \\ \Large{\implies{\boxed{\boxed{\sf{\sqrt{3} = 1.732}}}}} \\ \\ \sf{\rightarrow Area = 4 \times 1.732} \\ \\ \sf{\rightarrow Area = 6.928} \\ \\ \Large{\implies{\boxed{\boxed{\sf{Area = 6.93 \: cm^2}}}}}$

Answer 2

In context to question asked,

We have to determine the area of equilateral triangle.

As per question,

Side of equilateral triangle = 4 cm

As we know that,

All the sides of equilateral triangle is equal.

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

So, for determining the area of triangle, we will put the value of side in above formula,

Thus we will get,

Area of equilateral triangle will be

$=\frac{{\sqrt{3}}}{4}\times 4^2\\=\frac{16{\sqrt{3}}}{4}\:cm^2\\=4{\sqrt{3}}\:cm^2$