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

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==Solution==
 
==Solution==
 
[THERE IS NO AVAILIBLE SOLUTION]
 
[THERE IS NO AVAILIBLE SOLUTION]
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==See also==
 
==See also==
 
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{{USAJMO newbox|year=2019|num-b=2|num-a=4}}

Revision as of 21:03, 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
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