Pythagorean Theorem Table: Hypotenuse (c) by Leg a
Reference table of hypotenuse (c) for Pythagorean Theorem across a range of leg a values — exact, engine-computed figures you can read off at a glance.
Pythagorean Theorem Calculator
Verified formula Updated Jun 2026 Private — runs on your device
Verified formula
Private
Hypotenuse (c)
5.000000
- Area of triangle
- 6.00
- Perimeter
- 12.0000
For general information only — not financial, tax, legal or medical advice. Verify before you rely on it.
How to use the Pythagorean Theorem Calculator
The Pythagorean Theorem Calculator works out your hypotenuse (c), along with 2 related figures in an instant. Enter leg a and leg b and the result updates as you type — it is free, needs no sign-up, and runs entirely in your browser so your figures stay private.
- Enter the leg a.
- Enter the leg b.
- Read off your hypotenuse (c), together with area of triangle and perimeter — the calculator updates automatically, with no button to press.
Formula
The Pythagorean Theorem Calculator uses the formula:
Hypotenuse (c) = √(Leg a ^ 2 + Leg b ^ 2)
Worked example
For example, with leg a of 3 and leg b of 4, the hypotenuse (c) is 5.000000.
| Leg a | 3 |
|---|---|
| Leg b | 4 |
| Hypotenuse (c) | 5.000000 |
|---|---|
| Area of triangle | 6.00 |
| Perimeter | 12.0000 |
Results are estimates for educational use, not professional advice.
Key terms explained
- Hypotenuse
- The longest side of a right triangle, opposite the right angle.
- Perimeter
- The total distance around the outside of a two-dimensional shape.
- Area
- The amount of two-dimensional space a shape covers, measured in square units.
Frequently asked questions
In a right triangle, the square of the hypotenuse equals the sum of the squares of the other two sides: a² + b² = c². So c = √(a² + b²).
The hypotenuse is the longest side of a right triangle, opposite the right angle. For legs 3 and 4, the hypotenuse is 5.
Yes. The Pythagorean theorem applies only to triangles that contain a 90-degree angle.
It is a set of three whole numbers that satisfy a² + b² = c², such as 3-4-5 and 5-12-13. These make right triangles with integer sides.
The Pythagorean Theorem Calculator uses the formula: Hypotenuse (c) = √(Leg a ^ 2 + Leg b ^ 2). For example, with leg a of 3 and leg b of 4, the hypotenuse (c) is 5.000000.
Enter the leg a. Enter the leg b. Read off your hypotenuse (c), together with area of triangle and perimeter — the calculator updates automatically, with no button to press.
Related guides
How to Calculate Pythagorean Theorem: Formula, Steps & Examples
Learn how to calculate Pythagorean Theorem — the formula explained step by step, with worked examples and a free calculator to check your answer.