@MISC{Conrad_thecongruent, author = {Keith Conrad}, title = {THE CONGRUENT NUMBER PROBLEM}, year = {} }

Share

OpenURL

Abstract

A right triangle is called rational when its legs and hypotenuse are all rational numbers. Examples of rational right triangles include Pythagorean triples like (3, 4, 5). We can scale such triples to get other rational right triangles, like (3/2, 2, 5/2). Of course, usually when two sides are rational the third side is not rational, such as the (1, 1, √ 2) right triangle.