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Moscow Mathematical Olympiad
1956 Moscow Mathematical Olympiad
344
344
Part of
1956 Moscow Mathematical Olympiad
Problems
(1)
MMO 344 Moscow MO 1956 3 nodes of a graph paper, acute
Source:
8/19/2019
* Let
A
,
B
,
C
A, B, C
A
,
B
,
C
be three nodes of a graph paper. Prove that if
△
A
B
C
\vartriangle ABC
△
A
BC
is an acute one, then there is at least one more node either inside
△
A
B
C
\vartriangle ABC
△
A
BC
or on one of its sides.
graph
acute
geometry
combinatorial geometry