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
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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