Chapter 6

Pythagorean triples

1 Primitive Pythagorean triples

2 Primitive Pythagorean triples with square perimeter

3 Lewis Carroll’s conjecture on infinity of triples of equiareal Pythagorean triangles

4 Points at integer distances from the sides of a Pythagorean triangle

5 Dissecting a rectangle into Pythagorean triangles

Appendix: Primitive Pythagorean triples< 1000

Appendix: Dissection of a square

Exercise

Project: Factorablex^2 +px±q

Project: 64 primitive Pythagorean triangles with a common hypotenuse

Project: Primitive Pythagorean triangles with equal perimeters

Project: Two pairs of primitive Pythagorean triples with almost equal perimeters

Project: Cross number puzzle on Pythagorean triples