🎯 Proof Methods
🎨 Visual Proof
1
The squares on the legs (A² and B²) can be rearranged to perfectly fit into the square on the hypotenuse (C²)!
2
Watch the areas change as you adjust the triangle sides - the magic equation A² + B² = C² always holds!
3
Try different sizes and see how the theorem works for ANY right triangle!
📐 Algebraic Proof
1
Start with a square of side (a + b)
2
Area = (a + b)² = a² + 2ab + b²
3
This equals 4 triangles + inner square
4
4(½ab) + c² = a² + 2ab + b²
5
Simplifying: c² = a² + b² ✨
🧩 Interactive Block Playground
Drag the colored blocks to build the equation A² + B² = C²!
Each block represents a unit area. Arrange them to prove the theorem!
Available Blocks (Drag to build equation below):
A²
B²
C²
🎲 Knowledge Quiz
Ready to test your knowledge?
🔄 Rearrangement Puzzle
Drag and rearrange the pieces to see how the areas from A² and B² fill the C² square!
9 + 16 = 25
A² + B² = C²
🎮 Triangle Controls
Side A
3
Side B
4
Side C
5
A² Area
9
B² Area
16
C² Area
25
🏆 Achievements Unlocked: 0/10
💡 Pro Tip: Try the famous 3-4-5 triangle! It's one of the most well-known Pythagorean triples.