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Poland - Second Round
1960 Poland - Second Round
6
6
Part of
1960 Poland - Second Round
Problems
(1)
volume of the tetrahedron
Source: Polish MO Second Round 1960 p6
8/31/2024
Calculate the volume of the tetrahedron
A
B
C
D
ABCD
A
BC
D
given the edges
A
B
=
b
AB = b
A
B
=
b
,
A
C
=
c
AC = c
A
C
=
c
,
A
D
=
d
AD = d
A
D
=
d
and the angles
∡
C
A
D
=
β
\measuredangle CAD = \beta
∡
C
A
D
=
β
,
∡
D
A
B
=
γ
\measuredangle DAB = \gamma
∡
D
A
B
=
γ
and
∡
B
A
C
=
δ
\measuredangle BAC = \delta
∡
B
A
C
=
δ
.
geometry
3D geometry
Volume
tetrahedron