MathDB
Problems
Contests
National and Regional Contests
Moldova Contests
Moldova National Olympiad
2006 Moldova National Olympiad
11.3
11.3
Part of
2006 Moldova National Olympiad
Problems
(1)
Pyramid
Source: Moldavian MO 2006
3/19/2006
Let
A
B
C
D
E
ABCDE
A
BC
D
E
be a right quadrangular pyramid with vertex
E
E
E
and height
E
O
EO
EO
. Point
S
S
S
divides this height in the ratio
E
S
:
S
O
=
m
ES: SO=m
ES
:
SO
=
m
. In which ratio does the plane
(
A
B
C
)
(ABC)
(
A
BC
)
divide the lateral area of the pyramid.
geometry
3D geometry
pyramid
ratio
geometry proposed