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Azerbaijan Junior National Olympiad
2015 Azerbaijan National Olympiad
2
Azerbaijan NMO 2015
Azerbaijan NMO 2015
Source: Azerbaijan NMO 2015
October 21, 2015
geometry
inequalities
Problem Statement
Let
a
,
b
a,b
a
,
b
and
c
c
c
be the length of sides of a triangle.Then prove that
S
≤
a
2
+
b
2
+
c
2
6
S\le\frac{a^2+b^2+c^2}{6}
S
≤
6
a
2
+
b
2
+
c
2
where
S
S
S
is the area of triangle.
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