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Find All Triples (a,b,c) of Integers

Source: Irish Mathematical Olympiad - Paper 2 - 2008 -Question 1

May 11, 2008
geometrynumber theory proposednumber theory

Problem Statement

Find, with proof, all triples of integers (a,b,c) (a,b,c) such that a,b a, b and c c are the lengths of the sides of a right angled triangle whose area is a \plus{} b \plus{} c