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Pythagorean Leg Calculator Reference Values

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 for accuracy 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. All value pages
  2. Reference table
  3. FAQs
  4. Methodology and review
  5. Related conversions

Reference Value Index

This page lists 21 reference values for quick browsing and lookup.

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All Reference Values

Reference Table

Pythagorean Leg Calculator reference values
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

Frequently asked questions for Pythagorean Leg Calculator and its reference values.

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

Each row on this page links to a value detail page derived from the same conversion data file as the main calculator and reference table. This reduces inconsistencies across page variants.

Editorial metadata and structured data are rendered across the converter page and linked value pages. Review policies are documented in our review process and editorial policy.