Let ABCDEF be a convex hexagon. Let A'B'C'D'E'F' be the centroids of triangles FAB, ABC, BCD, CDE, DEF, EFA, respectively.

(a) Show that every pair of opposite sides in hexagon A'B'C'D'E'F' (namely A'B' and D'E', B'C' and E'F' and C'D' and F'A') are parallel and equal in length.

(b) Show that triangles A'C'E' and B'D'F' have equal areas.

Guest Mar 24, 2020

#1**+2 **

Take a look at https://web2.0calc.com/questions/please-help_7172

Hope this helped!

CalTheGreat Mar 24, 2020