1960 IMO Problems/Problem 3: Difference between revisions
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[[Category:Olympiad Geometry Problems]] | [[Category:Olympiad Geometry Problems]] | ||
Revision as of 09:45, 28 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
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| 1960 IMO (Problems) • Resources | ||
| Preceded by Problem 2 |
1 • 2 • 3 • 4 • 5 • 6 | Followed by Problem 4 |
| All IMO Problems and Solutions | ||
