Math Geometry Problems, Online Education

Geometry Problem 139. Triangle Area, Orthic Triangle, Semiperimeter, Circumradius.

In the figure below, given a triangle ABC of area S, circumradius R and orthic triangle DEF (AD, BE, and CF are the altitudes of ABC). If p is the semiperimeter of triangle DEF, prove that S = p.R. View or post a solution
 

Triangle Area, Orthic triangle, semiperimeter, circumradius


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