Difference between revisions of "1969 IMO Problems/Problem 3"
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− | For each | + | ==Problem== |
− | + | For each of <math>k = 1</math>, <math>2</math>, <math>3</math>, <math>4</math>, <math>5</math> find necessary and sufficient conditions on <math>a > 0</math> such that there | |
− | a | + | exists a tetrahedron with <math>k</math> edges length <math>a</math> and the remainder length <math>1</math>. |
+ | |||
+ | ==Solution== | ||
+ | {{solution}} | ||
+ | |||
+ | == See Also == {{IMO box|year=1969|num-b=2|num-a=4}} |
Revision as of 12:37, 29 January 2021
Problem
For each of , , , , find necessary and sufficient conditions on such that there exists a tetrahedron with edges length and the remainder length .
Solution
This problem needs a solution. If you have a solution for it, please help us out by adding it.
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 |