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Soros Olympiad in Mathematics
V Soros Olympiad 1998 - 99 (Russia)
9.4
max <AKM, 2 midpoints (V Soros Olympiad 1998-99 Round 3 9.4)
max <AKM, 2 midpoints (V Soros Olympiad 1998-99 Round 3 9.4)
Source:
May 25, 2024
geometry
angles
Problem Statement
Let
A
B
C
ABC
A
BC
be a triangle without obtuse angles,
M
M
M
the midpoint of
B
C
BC
BC
,
K
K
K
the midpoint of
B
M
BM
BM
. What is the largest value of the angle
∠
K
A
M
\angle KAM
∠
K
A
M
?
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