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International Contests
Nordic
1995 Nordic
4
4
Part of
1995 Nordic
Problems
(1)
triangles with sides consecutive integers & area integer
Source: Nordic Mathematical Contest 1995 #4
10/4/2017
Show that there exist infinitely many mutually non- congruent triangles
T
T
T
, satisfying (i) The side lengths of
T
T
T
are consecutive integers. (ii) The area of
T
T
T
is an integer.
geometry
Integer
area of a triangle