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International Contests
Tournament Of Towns
1989 Tournament Of Towns
(204) 2
(204) 2
Part of
1989 Tournament Of Towns
Problems
(1)
TOT 204 1989 Spring Train J2 double inradii, triangles by median
Source:
3/7/2021
In the triangle
A
B
C
ABC
A
BC
the median
A
M
AM
A
M
is drawn. Is it possible that the radius of the circle inscribed in
△
A
B
M
\vartriangle ABM
△
A
BM
could be twice as large as the radius of the circle inscribed in
△
A
C
M
\vartriangle ACM
△
A
CM
?( D . Fomin , Leningrad)
geometry
inradius
median
incircle