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ITAMO
1997 ITAMO
4
4
Part of
1997 ITAMO
Problems
(1)
volume of tetrahedron related to area of projection of tetrahedron on plane
Source: 1997 ITAMO p4
1/25/2020
Let
A
B
C
D
ABCD
A
BC
D
be a tetrahedron. Let
a
a
a
be the length of
A
B
AB
A
B
and let
S
S
S
be the area of the projection of the tetrahedron onto a plane perpendicular to
A
B
AB
A
B
. Determine the volume of the tetrahedron in terms of
a
a
a
and
S
S
S
.
geometry
3D geometry
tetrahedron
projection