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Tuymaada Olympiad
1998 Tuymaada Olympiad
8
8
Part of
1998 Tuymaada Olympiad
Problems
(1)
cut a pyramid into 8 equal and similar to it pyramids.
Source: Tuymaada 1998 p8
4/28/2019
Given the pyramid
A
B
C
D
ABCD
A
BC
D
. Let
O
O
O
be the midpoint of edge
A
C
AC
A
C
. Given that
D
O
DO
D
O
is the height of the pyramid,
A
B
=
B
C
=
2
D
O
AB=BC=2DO
A
B
=
BC
=
2
D
O
and the angle
A
B
C
ABC
A
BC
is right. Cut this pyramid into
8
8
8
equal and similar to it pyramids.
geometry
3D geometry
pyramid
right angle
solid geometry