Difference between revisions of "2019 USAJMO Problems/Problem 3"

(Solution)
m (Solution)
Line 3: Line 3:
  
 
==Solution==
 
==Solution==
 
+
[THERE IS NO AVAILIBLE SOLUTION]
{{MAA Notice}}da kokonut
+
{{MAA Notice}}
  
 
==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 20:03, 19 April 2019

Problem

$(*)$ Let $ABCD$ be a cyclic quadrilateral satisfying $AD^2+BC^2=AB^2$. The diagonals of $ABCD$ intersect at $E$. Let $P$ be a point on side $\overline{AB}$ satisfying $\angle APD=\angle BPC$. Show that line $PE$ bisects $\overline{CD}$.

Solution

[THERE IS NO AVAILIBLE SOLUTION] The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. AMC logo.png

See also

2019 USAJMO (ProblemsResources)
Preceded by
Problem 2
Followed by
Problem 4
1 2 3 4 5 6
All USAJMO Problems and Solutions