Answer :

**Given****:** Side of an equilateral triangle.

**To Prove:** the area of an equilateral triangle is .

**Concept Used:**

If sides of a triangle are a, b, and c, then area of a triangle is given by:

Where s = semiperimeter of the triangle

**Assumption:** Let the side of triangle = x cm.

**Explanation:**

We know that all sides of an equilateral triangle are equal.

Therefore,

Now,

**Hence, Proved.**

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