Question

find the area of an equilateral triangle with side 4 cm​

Answer 1

Answer:

Given,

side of a triangle = 4cm

so

$area \: of \: an \: equilateral \: triangle \\ \\ = \frac{ \sqrt{3} }{4} {side}^{2} \\ \\ = \frac{ \sqrt{3} }{4} ( {4})^{2} \\ \\ = \frac{ \sqrt{3} }{4} \times 16 \\ \\ = \frac{16 \sqrt{3} }{4} \\ \\ = \frac{4 \sqrt{3} }{1} \\ \\ = 4 \sqrt{3} \: cm$

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Answer 2

Answer:

Hence, value of area of equilateral triangle having side 4 cm will be $4{\sqrt{3}}\:cm^2$

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 = 4 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,

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