Abstract
Objectives: Finding the integral solutions of ternary quadratic equation and the relation between parameters/solutions. The ternary quadratic Diophantine equation is studied for it's non-trivial distinct integral solutions. Findings: Employing the integral solutions of the equation under consideration infinitely many Pythagorean triangles are obtained where each of which satisfies the relation Hypotenuse-4(area/Perimeter) is a Nasty number
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