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Zurab Silagadze
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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 http://www.inp.nsk.su/%7Esilagadz/Lin_proof.jpg

The proof originally appeared in the 1999 October issue of Mathematics Magazine.

Zurab Silagadze
  • 16.5k
  • 1
  • 47
  • 94