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International Contests
IMO Longlists
1978 IMO Longlists
44
44
Part of
1978 IMO Longlists
Problems
(1)
Prove that c/a+c/b>=2 if C=60 degrees in triangle ABC
Source:
10/31/2010
In
A
B
C
ABC
A
BC
with
∠
C
=
6
0
∘
\angle C = 60^{\circ}
∠
C
=
6
0
∘
, prove that
c
a
+
c
b
≥
2.
\frac{c}{a} + \frac{c}{b} \ge2.
a
c
+
b
c
≥
2.
trigonometry
inequalities
inequalities unsolved