Difference between revisions of "1986 USAMO Problems/Problem 4"
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Latest revision as of 08:59, 19 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
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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. 
