MathDB
Problems
Contests
National and Regional Contests
Moldova Contests
JBMO TST - Moldova
2017 Junior Balkan Team Selection Tests - Moldova
Problem 2
Inequality
Inequality
Source: Moldova JTST 2017, problem 2
May 3, 2017
inequalities
Problem Statement
Let
a
,
b
,
c
a,b,c
a
,
b
,
c
be the sidelengths of a triangle. Prove that
2
<
a
b
+
c
+
b
c
+
a
+
c
a
+
b
<
6
.
2<\sqrt{\frac{a}{b+c}}+\sqrt{\frac{b}{c+a}}+\sqrt{\frac{c}{a+b}}<\sqrt{6}.
2
<
b
+
c
a
+
c
+
a
b
+
a
+
b
c
<
6
.
Back to Problems
View on AoPS