Question

find the area of an equilateral triangle with sides . 16 cm​

Answer 1

Answer:

Answer

Astheareaofanequilateraltriangleis

4

3

a

2

whereaisoneside

So,

area=

4

3

×16

2

=64

3

Answer 2

Answer:

Hence, value of area of equilateral triangle having side 16 cm will be $64{\sqrt{3}} \:cm^2$

Step-by-step explanation:

In context to question asked,

We have to determine the value of area of equilateral triangle.

As per data given in the question,

We have,

Side of equilateral triangle = 16 cm

As we know that,

Equilateral triangle is that particular triangle whose all sides are equal.

As we have,

Formula for finding the area of equilateral triangle -

$Area = \frac{{\sqrt{3}}}{4}\:side^2$

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

So, we will get it as,

$Area = \frac{{\sqrt{3}}}{4}\:side^2\\Area = \frac{{\sqrt{3}}}{4} \times 16 \times 16\\=>Area ={\sqrt{3}} \times \frac{16 \times 16}{4}\:cm^2\\Area =64{\sqrt{3}} \:cm^2$