Visual "proofs" of the Pythagorean Theorem are nothing new. These are simply my attempts to construct a few of my favorites in GeoGebra.

[size=150][size=200]Proof A[/size][/size]

[size=200]Proof B[/size][br]A bit of a variation on Proof A above.[br]Drag [b][color=#b4a7d6]two vertices[/color][/b] to resize/reshape the right triangle.[br]Either press play button or drag slider to animate the visual "proof."

[size=200]Proof C[/size][br]A web search of "Pythagorean Theorem water demo" will yield video/gifs of physical models of water passing between square chambers.[br]Drag [b][color=#b4a7d6]vertices[/color][/b] to resize/reshape the right triangle..[br]Either press play button or drag slider to animate the visual "proof."

[size=200]Proof D[/size][br]A bit of a variation on Proof A above.[br]Drag [color=#6aa84f][b]two vertices[/b][/color] to resize/reshape the right triangle with lengths a, b, and c.[br]Either press play button or drag slider to animate the visual "proof."

[size=200]Trigonometric Proofs[/size][br]Also check out my model of the [url=https://www.geogebra.org/m/a52vcffq]2023 trigonometric proof developed by New Orleans teens Calcea Johnson and Ne’Kiya Jackson[/url]. Inspired by their intelligence and determination, I also developed [url=https://www.geogebra.org/m/za5f6czt]my own trigonometric proof[/url] a few weeks after their story hit the news.