Difference between revisions of "2019 USAJMO Problems/Problem 3"
Brendanb4321 (talk | contribs) (Created page with "==Problem== <math>(*)</math> Let <math>ABCD</math> be a cyclic quadrilateral satisfying <math>AD^2+BC^2=AB^2</math>. The diagonals of <math>ABCD</math> intersect at <math>E</...") |
Patrick feng (talk | contribs) (→Solution) |
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==Solution== | ==Solution== | ||
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==See also== | ==See also== | ||
{{USAJMO newbox|year=2019|num-b=2|num-a=4}} | {{USAJMO newbox|year=2019|num-b=2|num-a=4}} |
Revision as of 20:02, 19 April 2019
Problem
Let be a cyclic quadrilateral satisfying . The diagonals of intersect at . Let be a point on side satisfying . Show that line bisects .
Solution
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions.
da kokonut
See also
2019 USAJMO (Problems • Resources) | ||
Preceded by Problem 2 |
Followed by Problem 4 | |
1 • 2 • 3 • 4 • 5 • 6 | ||
All USAJMO Problems and Solutions |