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Miklós Schweitzer
1953 Miklós Schweitzer
7
7
Part of
1953 Miklós Schweitzer
Problems
(1)
Miklós Schweitzer 1953- Problem 7
Source: Miklós Schweitzer 1953- Problem 7
8/2/2015
7. Consider four real numbers
t
1
,
t
2
,
t
3
,
t
4
t_{1},t_{2},t_{3},t_{4}
t
1
,
t
2
,
t
3
,
t
4
such that each is less than the sum of the others. Show that there exists a tetrahedron whose faces have areas
t
1
,
t
2
,
t
3
t_{1},t_{2}, t_{3}
t
1
,
t
2
,
t
3
and
t
4
,
t_{4},
t
4
,
respectively. (G. 9)
3D geometry
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