Q. 34.3( 38 Votes )

Prove that the area of an equilateral triangle is .

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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