Question

calculate the area of an equilateral triangle using heron's formula

Answer 1

As we know that equilateral triangle have equal sides...
let the side of the triangle be 2 cm ( i'm asumming as you have not written)

perimeter =2+2+2=6cm
semi-perimeter=6/2=3cm

s-a=3-2=1
s-b =1cm
and s-c=1cm

area of triangle =
$\sqrt{s(s - a)(s - b)(s - c)}$
$\sqrt{3 \times 1 \times 1 \times 1}$

now i hope you can solve further...
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Answer 2

three sides are a,a,a
first we will calculate semiperimeter
$s = \frac{a + a + a}{2}$
s = 3a/2
$\sqrt{s(s - a)(s - a)(s - a)}$
which becomes
√{(3a/2)(a/2)(a/2)(a/2)}
√{(3/16) x( a^4)}
(√3) x (1/4) x (a^2)