Math Geometry Problems, Online Education

 Problem 191. Triangle, Altitudes, Orthocenter, Squares, Areas

In the figure below, ABC is a triangle with altitudes AA', BB', and CC' concurrent in the orthocenter O. If Sa, Sb, and Sc are the areas of the shaded squares built on the sides, prove that Sa + Sb + Sc = 2(AA’.AO + BB’.BO + CC’.CO). View or post a solution.

Elearning 191: Triangle, Altitudes, Square areas


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