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2002 Irish Math Olympiad
5
equality case
equality case
Source: Ireland 2002
July 5, 2009
geometry
Problem Statement
Let
A
B
C
ABC
A
BC
be a triangle with integer side lengths, and let its incircle touch
B
C
BC
BC
at
D
D
D
and
A
C
AC
A
C
at
E
E
E
. If |AD^2\minus{}BE^2| \le 2, show that AC\equal{}BC.
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