Pythagorean Theorem
In a right triangle, the square of the hypotenuse equals the sum of the squares of the other two sides.
Statement
For a right triangle with legs \(a\), \(b\) and hypotenuse \(c\):
\[ a^2 + b^2 = c^2 \]
Proof (Visual)
Consider a square with side length \(a + b\):
Examples
| \(a\) | \(b\) | \(c\) |
|---|---|---|
| 3 | 4 | 5 |
| 5 | 12 | 13 |
| 8 | 15 | 17 |
Related
- Distance Formula (coming soon)
- Law of Cosines (coming soon)