Find the missing side of a right triangle. Enter any two sides and the third will be calculated.
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The Pythagorean Theorem is one of the most fundamental principles in mathematics, attributed to the ancient Greek philosopher Pythagoras (~570–495 BC). It states that in any right triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
a² + b² = c²
Where a and b are the lengths of the two legs, and c is the length of the hypotenuse. The hypotenuse is always the longest side and is opposite the 90° angle.
| a | b | c | Verification |
|---|---|---|---|
| 3 | 4 | 5 | 9 + 16 = 25 |
| 5 | 12 | 13 | 25 + 144 = 169 |
| 8 | 15 | 17 | 64 + 225 = 289 |
| 7 | 24 | 25 | 49 + 576 = 625 |