2019 USAJMO Problems/Problem 3
Revision as of 21:02, 18 April 2019 by 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</...")
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. 
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 | ||
