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)}


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