Question

Find the area of a equilateral triangle with side 16 cm

Answer 1

Area of an equilateral triangle
= √3a^2/4 (where a is length of side of the ∆)
= √3*16*16/4
= √3*4*16
= 64√3 cm^2 ANS.

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,

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