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Sweden Contests
Swedish Mathematical Competition
1994 Swedish Mathematical Competition
2
2
Part of
1994 Swedish Mathematical Competition
Problems
(1)
cot B + cot C >= 2/3 when medians from B,C are perpendicular
Source: 1994 Swedish Mathematical Competition p2
4/2/2021
In the triangle
A
B
C
ABC
A
BC
, the medians from
B
B
B
and
C
C
C
are perpendicular. Show that
cot
B
+
cot
C
≥
2
3
\cot B + \cot C \ge \frac23
cot
B
+
cot
C
≥
3
2
.
Geometric Inequalities
geometry
Medians