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Greece National Olympiad
1999 Greece National Olympiad
2
2
Part of
1999 Greece National Olympiad
Problems
(1)
Right triangle with integer lengths
Source: Greece MO 1999
5/27/2011
A right triangle has integer side lengths, and the sum of its area and the length of one of its legs equals
75
75
75
. Find the side lengths of the triangle.
geometry
number theory
number theory proposed