Question

Find the area of an equilateral triangle with side √2 cm .

Answer 1

Answer:

The area of an equilateral triangle is 24 cm2.

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Answer 2

Answer:

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

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 = ${\sqrt{2}}\:cm$

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,

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