Geometry Problem
Level: Mathematics Education, High School, Honors Geometry, College.
Click the figure below to see the complete problem 844.
Wednesday, January 2, 2013
Problem 844: Triangle, Medians, Centroid, Four Circumcenters, Perpendicular, Congruence, Similarity
Labels:
centroid,
circumcenter,
median,
perpendicular,
similarity,
triangle
Subscribe to:
Post Comments (Atom)
In Problem 843, it is easy to show that
ReplyDeleteAPCG is a parallelogram.
So CP=AG=2/3×AD, GP=BG=2/3×BE.
By Problem 843,
HO3×CP=HO1×GP
⇒ HO3×2/3×AD=HO1×2/3×BE
⇒ HO3×AD=HO1×BE