## A Detailed Derivation of the Heron’s Formula

Heron’s Formula can be used to find the area of a triangle given the lengths of the three sides. A triangle with side lengths $a$, $b$, and $c$, its area $A$ can be calculated using the Heron’s formula

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

where

$s = \displaystyle \frac{a+b+c}{2}$

is the semiperimeter (half the perimeter) of the triangle.

In this post, I will provide a detailed derivation of this formula.  » Read more