geometry · drag to prove

A proof you can drag

Two boxes of exactly the same size. Four identical right triangles go in each. Whatever space is left over has to be equal — and the left box leaves two squares while the right box leaves one. That is the whole proof of a² + b² = c². Fill the right box and watch it land.

rearrangement board

placed 4 / 8
shape a 3.00 · b 4.00
    a²9.00 + b²16.00 =? c²25.00
    fill both boxes to show why
    side a
    3.00
    side b
    4.00
    slope side c
    5.00
    4 triangles
    24.00
    tilt
    53.13°
    whole numbers
    yes

    Drag a triangle onto a dashed outline and it snaps in — or just tap one and it flies to the next outline that fits. Keyboard: Tab to a triangle, Enter to place it or take it back out. A piece only fits an outline facing the same way.