Heron's Formula (Area of a triangle with 3 known sides)

How to calculate the area of a triangle with 3 known sides using Heron's Law.

The first step is to calculate the semiperimeter of the triangle denoted with the variable 's'. The semiperimeter is just a fancy way of saying half the perimeter: s=(a+b+c)/2.

The next step is to calculate the area of the triangle using Heron's Formula which is: A=sqrt(s(s-a)(s-b)(s-c))

It's unfortunate that Heron's formula isn't taught in schools anymore, in my opinion Heron's formula is a beautiful and useful technique for finding the area of a triangle especially if the height isn't given.

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Music by Adrian von Ziegler

[Firrox]

Thank you for this. Been through college and grad school and never knew this. Glad to have it so I can teach my students <3