Nonstandard Area Formula for a Right Triangle (proof without words)
In this video, we prove, wordlessly, that the area of a right triangle is the product of the two lengths on the hypotenuse lying on either side of the tangent point to the incircle.
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This animation is based on a visual proof by Roger B. Nelsen from the February 2007 issue of Mathematics Magazine (https://www.jstor.org/stable/27642990 ), page 45.
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Music in this video:
Instant Crush by Corbyn Kites