Question

Find the area of an equilateral triangle of side 12 cm

Answer 1

Answer:

36√3 cm²

Step-by-step explanation:

Area of equilateral triangle = √3/4 × a²

= √3/4 × 12 × 12

= 36√3 cm²

Answer 2

Answer:

Hence, value of area of equilateral triangle having side 12 cm will be $36{\sqrt{3}} \:cm^2$

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 = 12 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,

$Area = \frac{{\sqrt{3}}}{4}\:side^2\\Area = \frac{{\sqrt{3}}}{4} \times 12 \times 12\\=>Area ={\sqrt{3}} \times \frac{12 \times 12}{4}\:cm^2\\Area =36{\sqrt{3}} \:cm^2$