Pythagorean Tile Forge
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.
What this game shows · Pythagorean Tile Forge
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.
- Hypotenuse
- the side opposite the right angle. Always the longest.
- Pythagorean triple
- three integers like (3, 4, 5) where a² + b² = c² works exactly.
- Tile flow
- the visible animation — small squares migrate into the big one.
Aligned with CCSS 8.G.B.7 (apply the Pythagorean theorem to determine unknown side lengths).
Pythagorean Theorem Game
Tile the shortcut.
Dock ramp
A short ramp reaches across a 3 by 4 gap.
Pythagorean tile forge, animated.
01 What is a Pythagorean triple? Triples
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.
02 How do you find the hypotenuse from the legs? √(a² + b²)
Square both legs, sum, and take the square root. For legs 5 and 12: 25 + 144 = 169 → √169 = 13.
03 Why does a wrong guess fail visually? Area mismatch
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.
04 Which grade is this game for? Grades 7–8
Grades 7–8, aligned with CCSS 8.G.B.7. The applied complement to the Pythagorean Proof game.