Heron's formula

The area of a triangle from its three sides. History: about 60 AD.

A = \sqrt{s(s-a)(s-b)(s-c)},\quad s = \tfrac{a+b+c}{2}

How to work it out

1
The statement:
$A = \sqrt{s(s-a)(s-b)(s-c)},\quad s = \tfrac{a+b+c}{2}$
2
The area of a triangle from its three sides.
3
Below, the numbers in the table are computed by this site from the definition, not copied.

LaTeX source of the formulas on this page

\[ A = \sqrt{s(s-a)(s-b)(s-c)},\quad s = \tfrac{a+b+c}{2} \]

What is the heron's formula?

The area of a triangle from its three sides.

Who is the Heron's formula associated with?

Archimedes.