Geometry Problem

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

Click the figure below to see the complete problem 845.

## Wednesday, January 2, 2013

### Problem 845: Triangle, Medians, Centroid, Four Circumcenters, Perpendicular, Congruence, Similarity

Labels:
centroid,
circumcenter,
median,
similarity,
triangle

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From Problem 842,

ReplyDeleteHO4×BE=HO2×AD

From Problem 844,

HO3×AD=HO1×BE

Multiply two equations,

HO1×HO2×AD×BE=HO3×HO4×AD×BE

HO1×HO2=HO3×HO4