Difference between revisions of "1986 USAMO Problems/Problem 4"
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[[Category:Olympiad Geometry Problems]] | [[Category:Olympiad Geometry Problems]] |
Revision as of 13:50, 18 July 2016
Problem
Two distinct circles and are drawn in the plane. They intersect at points and , where is the diameter of . A point on and inside is also given.
Using only a "T-square" (i.e. an instrument which can produce a straight line joining two points and the perpendicular to a line through a point on or off the line), find a construction for two points and on such that is perpendicular to and is a right angle.
Solution
This problem needs a solution. If you have a solution for it, please help us out by adding it.
See Also
1986 USAMO (Problems • Resources) | ||
Preceded by Problem 3 |
Followed by Problem 5 | |
1 • 2 • 3 • 4 • 5 | ||
All USAMO Problems and Solutions |
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions.