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National and Regional Contests
Belgium Contests
Flanders Math Olympiad
1994 Flanders Math Olympiad
1
Triangle inequality
Triangle inequality
Source: flanders '94
September 27, 2005
inequalities
function
Problem Statement
Let
a
,
b
,
c
>
0
a,b,c>0
a
,
b
,
c
>
0
the sides of a right triangle. Find all real
x
x
x
for which
a
x
>
b
x
+
c
x
a^x>b^x+c^x
a
x
>
b
x
+
c
x
, with
a
a
a
is the longest side.
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