Pythagorean Leg Table: Other leg by Hypotenuse
Reference table of other leg for Pythagorean Leg across a range of hypotenuse values — exact, engine-computed figures you can read off at a glance.
Pythagorean Leg Calculator
Verified formula Updated Jun 2026 Private — runs on your device
Verified formula
Private
Other leg
4.0000
For general information only — not financial, tax, legal or medical advice. Verify before you rely on it.
How to use the Pythagorean Leg Calculator
The Pythagorean Leg Calculator works out your other leg in an instant. Enter hypotenuse and known leg 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 hypotenuse.
- Enter the known leg.
- Read off your other leg — the calculator updates automatically, with no button to press.
Formula
The Pythagorean Leg Calculator uses the formula:
Other leg = √(Hypotenuse ^ 2 - Known leg ^ 2)
Worked example
For example, with hypotenuse of 5 and known leg of 3, the other leg is 4.0000.
| Hypotenuse | 5 |
|---|---|
| Known leg | 3 |
| Other leg | 4.0000 |
|---|
Results are estimates for educational use, not professional advice.
Key terms explained
- Hypotenuse
- The longest side of a right triangle, opposite the right angle.
Frequently asked questions
Use leg = √(hypotenuse² − known leg²). With a hypotenuse of 5 and a leg of 3, the other leg is 4.
That cannot happen in a right triangle, so the inputs would not form a valid triangle.
Here you subtract under the root to find a leg, rather than adding to find the hypotenuse.
It is a common right triangle where the sides 3, 4 and 5 satisfy the Pythagorean theorem.
The Pythagorean Leg Calculator uses the formula: Other leg = √(Hypotenuse ^ 2 - Known leg ^ 2). For example, with hypotenuse of 5 and known leg of 3, the other leg is 4.0000.
Enter the hypotenuse. Enter the known leg. Read off your other leg — the calculator updates automatically, with no button to press.
Related guides
How to Calculate Pythagorean Leg: Formula, Steps & Examples
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