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
1991.9.3
1991.9.3
Part of
Kyiv City MO 1984-93 - geometry
Problems
(1)
area chasing in a triangle 1991 Kyiv City MO 9.3
Source:
7/19/2021
The point
M
M
M
is the midpoint of the median
B
D
BD
B
D
of the triangle
A
B
C
ABC
A
BC
, the area of which is
S
S
S
. The line
A
M
AM
A
M
intersects the side
B
C
BC
BC
at the point
K
K
K
. Determine the area of the triangle
B
K
M
BKM
B
K
M
.
geometry
areas