Fig. 108. §6 Math
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.
1Facts
- Shelf
- Math
- Kind
- Built from a recipe
- Sound
- Yes
- Hands-on
- Yes
- Licenses
- Own work (made in the page)
2How to play
Tap to rearrange. Hands-on: slide the triangles yourself to turn a² + b² into c².
3Its controls
Table I. Every control on this Splash.
| Control | Kind | Range | Start |
|---|---|---|---|
| Rearrange | Tap | ||
| Prove | Button |
4About 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.
5Details
- Splats
- Opens at 200,000 at Mid Detail, 60,000 at Low, and up to 720,000 at Max
6Sources and credits
Made in Splashery. Its code is MIT.
