Saturday, June 11, 2016

Geometry Problem 1227: Triangle, Circumcircle, Angle Bisector, Concyclic Points, Cyclic Quadrilateral

Geometry Problem. Post your solution in the comment box below.
Level: Mathematics Education, High School, Honors Geometry, College.

This entry contributed by Sumith Peiris, Moratuwa, Sri Lanka.

Click the figure below to view more details of problem 1227.

Geometry Problem 1227: Triangle, Circumcircle, Angle Bisector, Concyclic Points, Cyclic Quadrilateral

Posted by Antonio Gutierrez at 11:43 AM
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1 comment:

  1. APOSTOLIS MANOLOUDISJune 11, 2016 at 3:11 PM

    Problem 1227
    Is <PAE=x=<EAD=<FBD=<PBE,then A,B,E,P are concyclic so <ABD=<DFE=<AFR,and <ABE=<EPC=<APR,but <ABE=<EPC=<APR therefore A,F,P,R are concyclic.
    Is <RAP=y=<RFP=<BFD=<BAD,but <RAD=2x+y=<PAB=<PEC=<REC therefore A,D,E,R are concyclic.
    APOSTOLIS MANOLOUDIS 4 HIGH SHCOOL OF KORYDALLOS PIRAEUS GREECE

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