--- id: 5900f3f71000cf542c50ff0a title: 'Problem 139: Pythagorean tiles' challengeType: 5 forumTopicId: 301767 dashedName: problem-139-pythagorean-tiles --- # --description-- Let (a, b, c) represent the three sides of a right angle triangle with integral length sides. It is possible to place four such triangles together to form a square with length c. For example, (3, 4, 5) triangles can be placed together to form a 5 by 5 square with a 1 by 1 hole in the middle and it can be seen that the 5 by 5 square can be tiled with twenty-five 1 by 1 squares. However, if (5, 12, 13) triangles were used then the hole would measure 7 by 7 and these could not be used to tile the 13 by 13 square. Given that the perimeter of the right triangle is less than one-hundred million, how many Pythagorean triangles would allow such a tiling to take place? # --hints-- `euler139()` should return 10057761. ```js assert.strictEqual(euler139(), 10057761); ``` # --seed-- ## --seed-contents-- ```js function euler139() { return true; } euler139(); ``` # --solutions-- ```js // solution required ```