1999 USAMO Problems/Problem 6: Difference between revisions
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Revision as of 12:35, 4 July 2013
Problem
Let
be an isosceles trapezoid with
. The inscribed circle
of triangle
meets
at
. Let
be a point on the (internal) angle bisector of
such that
. Let the circumscribed circle of triangle
meet line
at
and
. Prove that the triangle
is isosceles.
Solution
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See Also
| 1999 USAMO (Problems • Resources) | ||
| Preceded by Problem 5 |
Followed by Last Question | |
| 1 • 2 • 3 • 4 • 5 • 6 | ||
| All USAMO Problems and Solutions | ||
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