Guess c, then watch area move
A standalone Pythagorean theorem H5 game: choose the missing hypotenuse, then launch the moving tile proof that shows why a² + b² equals c².
Guess the missing hypotenuse c, then watch the squares on the legs literally flow into the square on the hypotenuse. Wrong guesses fail visibly: the area is too small or too big — not because the rule was wrong, but because the squares didn't fit.
Aligned with CCSS 8.G.B.7 (apply the Pythagorean theorem to determine unknown side lengths).
Pythagorean Theorem Game
Dock ramp
A short ramp reaches across a 3 by 4 gap.
Geometry and measurement model
Pythagorean Tile Forge is built for students who memorize formulas before seeing the shape decomposition. It gives the page a clear search purpose: learn the model, manipulate it, then continue into the matching grade-level practice.
Pythagorean Tile Forge helps when a student can copy a procedure but cannot explain why it works. The demo slows the idea down into a visible model before sending the learner to guided missions.
Learning goals
How to play
Continue with guided practice
Three whole numbers (a, b, c) where a² + b² = c². Famous ones: (3, 4, 5), (5, 12, 13), (8, 15, 17). The game lets you cycle through them.
Square both legs, sum, and take the square root. For legs 5 and 12: 25 + 144 = 169 → √169 = 13.
Because the area must match. Guess too small and the leg squares overflow the hypotenuse square; guess too big and the hypotenuse square has empty space. The animation shows this immediately.
Grades 7–8, aligned with CCSS 8.G.B.7. The applied complement to the Pythagorean Proof game.
