Pythagorean Triple Finder

A Pythagorean Triple represents exact integer lengths of the sides of a Right Triangle including two legs and a hypotenus at angle A (if A is an even multiple of 90°, one leg is zero length). It is easy to find Pythagorean Triples to approach any A with high accuracy.

Parameters

3-4-5 triangle.
Angle:

°

Factor Denominator Limit:



How to Use This Page

Enter the desired angle, in degrees.  Adjust the Factor Denominator Limit, a positive integer that affects the size of the resulting values and the accuracy of the angle.  Press Find Pythagorean Triple, look at the results and related explanations, and repeat.

Rational orthogonal rotation functions of angle A are easily derived from this triple for use in a Square Coordinate System, just as 120° Triples may be used for rotation functions in a Natural Coordinate System.

Click to go back to the homework home page if you are finished generating Pythagorean Triples or click to generate 120° Triples.