[Here](http://www.maa.org/sites/default/files/269122948517.pdf) you can find Grace Lin's proof without Words that The Product of the Perimeter of a Triangle and Its Inradius Is Twice the Area of the Triangle (see the figure below) ![Grace Lin's proof][1] The proof originally appeared in the 1999 October issue of Mathematics Magazine. [1]: https://i.sstatic.net/9TuqK.jpg