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Regional Mathematical Olympiad
2001 India Regional Mathematical Olympiad
6
Ineq triangle
Ineq triangle
Source: Indian RMO 2001 Problem 6
October 27, 2005
Problem Statement
If
x
,
y
,
z
x,y,z
x
,
y
,
z
are sides of a triangle, prove that
∣
x
2
(
y
−
z
)
+
y
2
(
z
−
x
)
+
z
2
(
x
−
y
)
∣
<
x
y
z
.
| x^2(y-z) + y^2(z-x) + z^2(x-y) | < xyz.
∣
x
2
(
y
−
z
)
+
y
2
(
z
−
x
)
+
z
2
(
x
−
y
)
∣
<
x
yz
.
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