Abstract
We consider the problem to determine for which central points X of the triangle ABC will the areas of triangles BCX , CAX , and ABX be sides of a triangle. We shall prove that only nine out of hundred and one central points from Kimberling’s list have this property. The algebraic method of proof for this result is also used to obtain some new examples of three areas that are sides of a triangle and are build from elements of a given triangle. Mathematics subject classification (1991): 51M16, 52A40, 51N20, 51M04.
Full Text 
Sign-in/Register to access full text options
Sign-in/Register to access full text options 
Paper version not known
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
