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Regional Mathematical Olympiad
1999 India Regional Mathematical Olympiad
5
Well known triangle ineq
Well known triangle ineq
Source: Indian RMO 1999 Problem 5
October 26, 2005
inequalities
Problem Statement
If
a
,
b
,
c
a,b,c
a
,
b
,
c
are sides of a triangle, prove that
a
c
+
a
−
b
+
b
a
+
b
−
c
+
c
b
+
c
−
a
≥
3.
\frac{a}{c+a-b} + \frac{b}{a+b-c} + \frac{c}{b+c-a} \geq 3.
c
+
a
−
b
a
+
a
+
b
−
c
b
+
b
+
c
−
a
c
≥
3.
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