Pythagorean Triangle Report
Introduction: The fascinating branch of mathematics is the theory of numbers where in Pythagorean triangles have been a matter of interest to various mathematicians and to the lovers of mathematics, because it is a treasure house in which the search for many hidden connection is a treasure hunt. For a rich variety of fascinating problems one may refer [1-9,12-18,20-23].A careful observer of patterns may note that there is a one to one correspondence between the polygonal numbers and the number of sides of the polygon. In [10,11,19], special Pythagorean triangles connected with polygonal numbers and Nasty numbers are obtained. In [24] pairs of distinct Pythagorean triangles such that in each pair the difference between their perimeter is represented by i) ii) iii) iv) are obtained. In [25], different methods of obtaining pairs of Pythagorean triangles which are such that, in each pair, the difference between the product of their generators is a perfect square. …show more content…
Also we have presented with suitable properties obtained from the generators of Pythagorean triangles.
Method of Analysis It is well known that the Pythagorean triangle is represented by equation whose most cited solution is , , , (1) Here p, q are called generators of Pythagorean
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