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Germany Contests
German National Olympiad
2018 German National Olympiad
2
2
Part of
2018 German National Olympiad
Problems
(1)
A tetrahedron with only two different side lengths
Source: Germany 2018, Problem 2
6/17/2018
We are given a tetrahedron with two edges of length
a
a
a
and the remaining four edges of length
b
b
b
where
a
a
a
and
b
b
b
are positive real numbers. What is the range of possible values for the ratio
v
=
a
/
b
v=a/b
v
=
a
/
b
?
geometry
3D geometry
tetrahedron