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Poland - Second Round
1958 Poland - Second Round
5
5
Part of
1958 Poland - Second Round
Problems
(1)
centers of 3 equilaterals form an equilateral triangle.
Source: Polish MO second round 1958 p5
8/29/2024
Outside triangle
A
B
C
ABC
A
BC
equilateral triangles
B
M
C
BMC
BMC
,
C
N
A
CNA
CN
A
, and
A
P
B
APB
A
PB
are constructed. Prove that the centers
S
S
S
,
T
T
T
,
U
U
U
of these triangles form an equilateral triangle.
geometry
Equilateral
equilaterals