Geometry Problem
Level: Mathematics Education, High School, Honors Geometry, College.
Click the figure below to see the complete problem 977.
Sunday, February 9, 2014
Geometry Problem 977: Acute Triangle, Circumcenter, Orthocenter, Distance, Circumradius, Altitude, Metric Relations
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BD cut circle O at E
ReplyDeleteSince H is the orthocenter of triangle ABC => HD=HE
Power of point H to circle O= -HB.HE=d^2-R^2
but HE=2.HD => d^2=R^2-2.HD.HB