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Poland - Second Round
1954 Poland - Second Round
3
3
Part of
1954 Poland - Second Round
Problems
(1)
triangle construction
Source: Polish MO second round 1954 p3
8/29/2024
Given: point
A
A
A
, line
p
p
p
, and circle
k
k
k
. Construct a triangle
A
B
C
ABC
A
BC
with angles
A
=
6
0
∘
A = 60^\circ
A
=
6
0
∘
,
B
=
9
0
∘
B = 90^\circ
B
=
9
0
∘
, whose vertex
B
B
B
lies on line
p
p
p
, and vertex
C
C
C
- on circle
k
k
k
.
geometry
construction