3, 4, 5...and other memorable triples – Part II

I n Part I of this article we had showcased the triple (3, 4, 5) by highlighting some of its properties and some configurations where it occurred naturally. We now attempt to extend this to other triples of consecutive integers. To begin with, we study the two ‘siblings’ of (3, 4, 5), namely, the triples (2, 3, 4) and (4, 5, 6). We start first with the elder sibling, (4, 5, 6). (We do need to show the older ones some respect, don’t we?