Pythagorean Theorem Visualizer
Drag the triangle vertices to explore a²+b²=c². Watch the squares on each side prove the theorem visually in real-time.
Controls
Calculations
| a | 6.0 |
| b | 8.0 |
| c | 10.0 |
| a² | 36.0 |
| b² | 64.0 |
| c² | 100.0 |
| a²+b² | 100.0 |
| Verified | ✓ |
The Math Behind It
The Theorem
- For any right triangle: a² + b² = c²
- a and b are the legs (sides forming the right angle)
- c is the hypotenuse (longest side, opposite the right angle)
- Only works for right triangles (one 90° angle)
Visual Proof
- The square on side a has area a²
- The square on side b has area b²
- The square on the hypotenuse c has area c²
- The sum of the two smaller squares equals the largest square
Famous Pythagorean Triples
| a | b | c | Type |
|---|---|---|---|
| 3 | 4 | 5 | Basic |
| 5 | 12 | 13 | Basic |
| 8 | 15 | 17 | Basic |
| 7 | 24 | 25 | Basic |
| 6 | 8 | 10 | 3-4-5 × 2 |
| 9 | 12 | 15 | 3-4-5 × 3 |
Click any row to set that triple
You're crushing it!