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It has become obvious that the Shapes category was in way over its head with all sorts of geometrical problems. So, the hard-core Geometry problems will now reside here, where they will fit in much better.
Given a triangle ABC, draw lines from each vertex to the opposite side so that all three lines meet.
Label the points on those sides D, E, F.
Label the meeting point O.
See on your drawing that the order of the labeled points on the perimeter is AFBDCEA.

Show that DO/DA + EO/EB + FO/FC = 1 for any triangle.

(No Solution Yet, 0 Comments) Submitted on 2017-06-25 by Ady TZIDON   
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