Geometry Problem

Level: Mathematics Education, High School, Honors Geometry, College.

Click the figure below to see the complete problem 843.

## Wednesday, January 2, 2013

### Problem 843: Triangle, Medians, Centroid, Four Circumcenters, Perpendicular, Parallel, Congruence, Similarity

Labels:
centroid,
circumcenter,
congruence,
median,
parallel,
perpendicular,
similarity,
triangle

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∵ HO3⊥BG, HO1⊥AG, O1O3⊥FG

ReplyDelete∴ HO3⊥GP, HO1⊥CP, O1O3⊥CG

∴ ΔHO1O3~ΔPCG

⇒ HO1/HO3=CP/GP

⇒ HO3×CP=HO1×GP