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Moscow Mathematical Olympiad
1941 Moscow Mathematical Olympiad
078
MMO 078 Moscow MO 1941 triangle construction
MMO 078 Moscow MO 1941 triangle construction
Source:
July 18, 2019
Triangle construction
geometric construction
geometry
Problem Statement
Given points
M
M
M
and
N
N
N
, the bases of heights
A
M
AM
A
M
and
B
N
BN
BN
of
△
A
B
C
\vartriangle ABC
△
A
BC
and the line to which the side
A
B
AB
A
B
belongs. Construct
△
A
B
C
\vartriangle ABC
△
A
BC
.
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