SummaryIn this note we give a method to generate all Heronian triangles with sides in arithmetic progression (H.A.P. triangles) and show that all Brahmagupta triangles can be generated as solutions of a difference equation with certain initial conditions. The same difference equation with different initial conditions generates all rational non-integer solutions, if H.A.P. triangles whose side lengths differ from each other by 1 and also differ from the inradius by integers.