πθ
Pythagorean Proofs
See a² + b² = c² in motion
Scene
Rearrangement (a+b)
Four triangles slide between c² and a² + b² inside the same square.
Drag the top vertex to reshape the right triangle.
Proof scenes
Rearrangement (a+b)
Rearrangement (c)
Euclid
Shearing
Similar triangles
Pause
Replay
The right angle stays fixed. Drag the top vertex to change side lengths; scenes animate automatically.
Instructions
Notes
Instructions
✕
How to explore
Drag the top vertex
to change the triangle; squares and proofs update live.
Use the
scene tabs
to toggle proofs: rearrangement, dissection, similarity, and balance.
Play/Pause
or
Replay
to watch each scene from the start.
Notice that areas realign in every scene, quietly proving a² + b² = c².
Notes
✕