Difference between revisions of "1969 IMO Problems/Problem 3"

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== See Also == {{IMO box|year=1969|num-b=2|num-a=4}}

Revision as of 13:37, 29 January 2021

Problem

For each of $k = 1$, $2$, $3$, $4$, $5$ find necessary and sufficient conditions on $a > 0$ such that there exists a tetrahedron with $k$ edges length $a$ and the remainder length $1$.

Solution

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See Also

1969 IMO (Problems) • Resources
Preceded by
Problem 2
1 2 3 4 5 6 Followed by
Problem 4
All IMO Problems and Solutions