Question

The side of an equilateral triangle is 24 cm. Find its area.​

Answer 1

Answer:

$\huge\bf\underline{\underline{Aɴsᴡᴇʀ}}$

$\bf\underline{\underline{Given}}$

side = 24cm

• and it's an equilateral triangle

$\bf\underline{\underline{Area}}$

$area \: of \: triangle = \sqrt{ \frac{3}{4} {a}^{2} } \\ \\ = \sqrt{ \frac{3}{4}(24) {}^{2} } \\ = 249.42cm {}^{2}$

Answer 2

Answer:

Hence, value of area of equilateral triangle having side 24 cm will be $144{\sqrt{3}} \:cm^2$

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 = 24 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,

$Area = \frac{{\sqrt{3}}}{4}\:side^2\\Area = \frac{{\sqrt{3}}}{4} \times 24 \times 24\\=>Area ={\sqrt{3}} \times \frac{24 \times 24}{4}\:cm^2\\Area =144{\sqrt{3}} \:cm^2$