Convertools

Pythagorean Leg Calculator

Calculate a missing right-triangle leg from hypotenuse and the other leg using a = √(c² - b²).

Author

Prof. Kenji Tanaka

Math editorial contributor

Japanese materials scientist at Kyoto University, known for breakthroughs in sustainable polymer research

Reviewed by

Dr. Emeka Nwosu

Math content reviewer

Nigerian legal scholar with an SJD from Yale, focused on international trade law and African continental free trade agreements

Last updatedFebruary 22, 2026

PublishedFebruary 22, 2026

Table of Contents

  1. Reference values
  2. Calculator
  3. Reference table
  4. FAQs
  5. Methodology and review
  6. Related conversions

13 units Hypotenuse (c); 12 units Known Leg =

5 units

Representative value from the Pythagorean Leg Calculator reference table.

Reference Values

Browse 21 reference values with individual detail pages for quick lookup.

Browse all reference values

Pythagorean Leg Calculator

Calculate a missing right-triangle leg from hypotenuse and the other leg using a = √(c² - b²).

Calculated Result

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Reference Table

Use this complete table for quick lookup and internal linking to specific value pages.

Pythagorean Leg Calculator Reference
ScenarioMissing Leg
5 units Hypotenuse (c); 3 units Known Leg4 units
5 units Hypotenuse (c); 4 units Known Leg3 units
10 units Hypotenuse (c); 3 units Known Leg9.539392 units
10 units Hypotenuse (c); 4 units Known Leg9.165151 units
10 units Hypotenuse (c); 5 units Known Leg8.660254 units
10 units Hypotenuse (c); 8 units Known Leg6 units
13 units Hypotenuse (c); 3 units Known Leg12.649111 units
13 units Hypotenuse (c); 4 units Known Leg12.369317 units
13 units Hypotenuse (c); 5 units Known Leg12 units
13 units Hypotenuse (c); 8 units Known Leg10.246951 units
13 units Hypotenuse (c); 12 units Known Leg5 units
15 units Hypotenuse (c); 3 units Known Leg14.696938 units
15 units Hypotenuse (c); 4 units Known Leg14.456832 units
15 units Hypotenuse (c); 5 units Known Leg14.142136 units
15 units Hypotenuse (c); 8 units Known Leg12.688578 units
15 units Hypotenuse (c); 12 units Known Leg9 units
17 units Hypotenuse (c); 3 units Known Leg16.733201 units
17 units Hypotenuse (c); 4 units Known Leg16.522712 units
17 units Hypotenuse (c); 5 units Known Leg16.248077 units
17 units Hypotenuse (c); 8 units Known Leg15 units
17 units Hypotenuse (c); 12 units Known Leg12.041595 units

Frequently Asked Questions

Common questions about Pythagorean Leg Calculator, formulas, and typical use cases.

What does the Pythagorean Leg Calculator calculator do?

It helps with solving right triangles when one leg and the hypotenuse are known.

What formula does the Pythagorean Leg Calculator calculator use?

Missing leg = √(hypotenuse² - known leg²).

What inputs are valid?

Hypotenuse must be greater than the known leg, and lengths cannot be negative.

When would I use this?

solving right triangles when one leg and the hypotenuse are known

Methodology and Review

This page combines a live calculator, precomputed reference values, and FAQ content from the same conversion definition to reduce mismatch between calculator output and lookup tables.

Editorial metadata (author, reviewer, and update date) is rendered on the page and in structured data. See our editorial policy, review process, and corrections policy.

For compliance-sensitive work, verify final values against project requirements, governing standards, and manufacturer documentation.