Heron's Formula

[Aramail]

We learned Heron's Formula for finding the area of triangles recently, for those not familiar:

k=Root(s(s-a)(s-b)(s-c)) where a, b, and c and sides of the triagle and s is the semi perimeter.

Just wondering if anyone can prove/derive it, my teacher didnt know and I havent been able to figure it out yet.

[thylacine]

[ QUOTE ]
We learned Heron's Formula for finding the area of triangles recently, for those not familiar:

k=Root(s(s-a)(s-b)(s-c)) where a, b, and c and sides of the triagle and s is the semi perimeter.

Just wondering if anyone can prove/derive it, my teacher didnt know and I havent been able to figure it out yet.

[/ QUOTE ]

Consider the inscribed circle! /images/graemlins/wink.gif

[Jasper109]

Ever heard of the google?

http://mathforum.org/library/drmath/view/54686.html

[BluffTHIS!]

mathworld (http://mathworld.wolfram.com/HeronsFormula.html)