mathschallenge.net logo

Primitive Pythagorean Triplets

Problem

Given that (x, y, z) is a primitive Pythagorean triplet, prove that the following transformation will produce another primitive Pythagorean triplet.

(x", y", z") = (x, y, z)
 1
-2
 2
 2
-1
 2
 2
-2
 3

Problem ID: 205 (24 Jan 2005)     Difficulty: 4 Star

Show Problem & Solution