Difference between revisions of "1960 IMO Problems/Problem 3"
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Revision as of 19:20, 25 October 2007
Problem
In a given right triangle 
, the hypotenuse 
, of length 
, is divided into 
equal parts ( and odd integer). Let 
be the acute angle subtending, from 
, that segment which contains the midpoint of the hypotenuse. Let 
be the length of the altitude to the hypotenuse of the triangle. Prove that:
Solution
This problem needs a solution. If you have a solution for it, please help us out by adding it.
| 1960 IMO (Problems) • Resources | ||
| Preceded by Problem 2 |
1 • 2 • 3 • 4 • 5 • 6 | Followed by Problem 4 |
| All IMO Problems and Solutions | ||
