A 120° Triple represents exact integer lengths of the sides of a 120° Triangle including two legs and a hypotenus at A° (if A is an even multiple of 60°, one leg is zero length). It is easy to find 120° Triples to approach any A with high accuracy.
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 120° Triple, look at the results and related explanations, and repeat.
Rational 120° rotation functions of angle A are easily derived from 120° Triples for use in a Natural Coordinate System, just as Pythagorean Triples may be used for rotation functions in a Square Coordinate System.
Click to go back to the homework home page if you are finished generating 120° Triples, or click to generate Pythagorean Triples.
