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

Home | Geometry | Altitude | Search | Problems | 131-140 | Semiperimeter | Orthic Triangle | Email | View or post a solution | By Antonio Gutierrez