MathDB
Problems
Contests
National and Regional Contests
Ukraine Contests
Random Geometry Problems from Ukrainian Contests
Old Kyiv MO Geometry
Kyiv City MO 1984-93 - geometry
1984.7.3
1984.7.3
Part of
Kyiv City MO 1984-93 - geometry
Problems
(1)
<ABM obtuse or right, CM=BC - 1984 Kyiv City MO 7.3
Source:
7/15/2021
On the extension of the largest side
A
C
AC
A
C
of the triangle
A
B
C
ABC
A
BC
set aside the segment
C
M
CM
CM
such that
C
M
=
B
C
CM = BC
CM
=
BC
. Prove that the angle
A
B
M
ABM
A
BM
is obtuse or right.
geometry
angles