MathDB
Problems
Contests
National and Regional Contests
Belgium Contests
Flanders Math Olympiad
1994 Flanders Math Olympiad
1
1
Part of
1994 Flanders Math Olympiad
Problems
(1)
Triangle inequality
Source: flanders '94
9/27/2005
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.
inequalities
function