Hypotenuse Calculator
Compute the longest side of a right-angled triangle using the Pythagorean theorem. Features a live equation display for clarity.
About
The hypotenuse is the side opposite the right angle in a right triangle. Calculating its length is fundamental in fields ranging from carpentry to navigation. The Pythagorean theorem states that the square of the hypotenuse equals the sum of the squares of the other two sides. This tool applies the theorem instantly and visualizes the equation step with your inputs to verify the logic behind the result.
geometry
triangle
pythagoras
math
calculator
Formulas
The theorem relates the three sides a, b, and c.
c = √a2 + b2
Reference Data
| Side | Symbol | Description |
|---|---|---|
| Leg A | a | First adjacent side to right angle |
| Leg B | b | Second adjacent side to right angle |
| Hypotenuse | c | Longest side, opposite right angle |
| Angle | ∠C | Always 90° |
Frequently Asked Questions
No. The hypotenuse is always the longest side in a right-angled triangle because it is opposite the largest angle (90 degrees).
The Pythagorean theorem only applies to right-angled triangles. For oblique triangles, use the Law of Cosines.