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Pythagorean Calculator

Your inputs

Fill any two of a, b and c and the third is solved. Fill all three to test whether a triangle is right-angled (the converse of the theorem).

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Result visualization

Find any missing side of a right triangle — a leg or the hypotenuse — plus both acute angles, area, perimeter and the altitude to the hypotenuse, with the squares-on-sides diagram, worked steps and a triple check.

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UNDERSTAND YOUR RESULTS

Pythagorean Calculator guide

Find any missing side of a right triangle — a leg or the hypotenuse — plus both acute angles, area, perimeter and the altitude to the hypotenuse, with the squares-on-sides diagram, worked steps and a triple check.

How to use this tool

  1. Enter Leg a, Leg b, Hypotenuse c (blank = solve it).
  2. Change a value to update the results and illustration. Check any validation message before using the output.
  3. Copy the results or download CSV. Reset restores the example values.

A worked example

Legs 3 and 4 give a hypotenuse of 5 and area of 6. Entering hypotenuse 13 with leg 5 instead solves the missing leg as 12, and 6-8-10 is flagged as a Pythagorean triple (the 3-4-5 family ×2).

What you can do with this tool

How it works

Fill any two of a, b and c and the third is solved. Fill all three to test whether a triangle is right-angled (the converse of the theorem).

Frequently asked questions

How should I interpret the illustration?

It is a visual aid, not a replacement for the numeric output. Some charts compare values with different units, and those magnitudes are not directly comparable.

Can I use the result without checking the inputs?

Check units, signs, assumptions and rounding first. The tool cannot know whether the values you enter describe the real situation correctly.