Difference between revisions of "2006 Romanian NMO Problems/Grade 9/Problem 3"
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==See also== | ==See also== | ||
− | *[[2006 Romanian NMO Problems/Problem 2 | Previous problem]] | + | *[[2006 Romanian NMO Problems/Grade 9/Problem 2 | Previous problem]] |
− | *[[2006 Romanian NMO Problems/Problem 4 | Next problem]] | + | *[[2006 Romanian NMO Problems/Grade 9/Problem 4 | Next problem]] |
*[[2006 Romanian NMO Problems]] | *[[2006 Romanian NMO Problems]] | ||
[[Category: Olympiad Geometry Problems]] | [[Category: Olympiad Geometry Problems]] |
Revision as of 00:11, 11 November 2006
Problem
We have a quadrilateral inscribed in a circle of radius
, for which there is a point
on
such that
.
(a) Prove that there are points which fulfill the above conditions.
(b) Prove that .
Virgil Nicula
Solution
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