Question

The area of an equilateral triangle with side length A is equal to: (Please provide a step by step explanation or at least explain the sum done in the attachment

Answer 1

So I am explaining the question from the pic attached

In an eqilateral all sides are equal so we took all sides as 'a'

Then appling heron's formula first we calcuate semiperimeter which is the sum of all sides divided by 2

Then we apply heron's formula which is

$\sqrt{s(s-a)(a-b)(a-c)}$

But in our case all sides are same so

$\sqrt{s(s-a)(s-a)(s-a)}$

Where 's' is the semiperimeter and a is the side

Now we subsitute the value and then we get the formula of area of eqilateral triangle