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Poland - Second Round
1968 Poland - Second Round
4
4
Part of
1968 Poland - Second Round
Problems
(1)
a^2yz + b^2zx + c^2xy >= 0
Source: 1968 Polad Second Round p4
8/27/2024
Prove that if the numbers
a
,
b
,
c
a, b, c
a
,
b
,
c
, are the lengths of the sides of a triangle and the sum of the numbers
x
,
y
,
z
x,y,z
x
,
y
,
z
is zero, then
a
2
y
z
+
b
2
z
x
+
c
2
x
y
≤
0.
a^2yz + b^2zx + c^2xy \leq 0.
a
2
yz
+
b
2
z
x
+
c
2
x
y
≤
0.
algebra
inequalities
geometry
Geometric Inequalities