Pythagoras Proof

In a right triangle, the two short sides a and b and the long side c always fit a rule: a² + b² = c².

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Shelf: Math
Kind: Built from a recipe
Sound: Yes
Hands-on: Yes
Licenses: Own work (made in the page)

How to play

Tap to rearrange. Hands-on: slide the triangles yourself to turn a² + b² into c².

Its controls

Control	Kind	Range	Start
Rearrange	Tap
Prove	Button

About it

In a right triangle, the two short sides a and b and the long side c always fit a rule: a² + b² = c². So a square drawn on the long side has the same area as the squares on the two short sides put together. It is named after Pythagoras, a Greek thinker of about 2,500 years ago, though people in Babylon knew it even earlier.

This is a rearrangement proof. Four copies of the triangle fill a big square, leaving two empty squares, a² and b². Tap it and the triangles slide into the corners, and the empty space becomes one tilted square, c², so a² + b² must equal c². Then they slide back.

Details

Splats: Opens at 200,000 at Mid Detail, 60,000 at Low, and up to 720,000 at Max

Sources and credits

Made in Splashery. Its code is MIT.

Share it

This link opens it in the Playground. To put it on your own page, add the element and one script tag. Every option.

https://splashery.app/play/?toy=pythagoras-proof

<script type="module" src="https://splashery.app/play/src/element.js"></script>
<splashery-toy toy="pythagoras-proof"></splashery-toy>