On the number of primitive Pythagorean triangles with a given inradius. (English) Zbl 1132.11015
Summary: The inradius of a triangle is the radius of the inscribed circle. In particular, the inradius of a primitive Pythagorean triangle is always an integer. We show how to find the number of primitive Pythagorean triangles with a given inradius.
MSC:
11D09 | Quadratic and bilinear Diophantine equations |
51M04 | Elementary problems in Euclidean geometries |