Difference between revisions of "1969 IMO Problems/Problem 3"
Redfiretruck (talk | contribs) |
|||
| Line 1: | Line 1: | ||
| + | ==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 | 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 | ||
exists a tetrahedron with <math>k</math> edges length <math>a</math> and the remainder length <math>1</math>. | 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=1959|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
| 1959 IMO (Problems) • Resources | ||
| Preceded by Problem 2 |
1 • 2 • 3 • 4 • 5 • 6 | Followed by Problem 4 |
| All IMO Problems and Solutions | ||
