Difference between revisions of "1960 IMO Problems/Problem 3"
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Revision as of 01:24, 12 March 2007
In a given right triangle , the hypotenuse , of length , is divided into equal parts ( and odd integer). Let be the acute angel subtending, from , that segment which contains the mdipoint of the hypotenuse. Let be the length of the altitude to the hypotenuse fo the triangle. Prove that: