Proposed Problem

Click the figure below to see the complete problem 401 about Area, Triangle, Angle bisector, Circumcircle, Perpendicular bisector, Congruence.

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Complete Problem 401

Level: High School, SAT Prep, College geometry

## Wednesday, December 9, 2009

### Problem 401. Area, Triangle, Angle bisector, Circumcircle, Perpendicular bisector, Congruence

Labels:
angle bisector,
area,
circumcircle,
congruence,
perpendicular,
triangle

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DH=GC ( from P 400 )=> area DHF=area FGC (same altitude)

ReplyDeleteTr FHC and GEC are similar => GC/HC = EP/FK ( EP and FK

altitude of EGC and FHC ) => CG FK = HC PE but HC =DG

so CG FK = DG EP or (CG FK )/ 2 = (DG HP )/2

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