Asked by Stephanie
In triangle ABC, the medians AD,BE, and CF concur at the centroid G.
(a) Prove that AD < (AB + AC)/2.
(b) Let P=AB+AC+BC be the perimeter of triangle ABC. Prove that 3P/4 < AD + BE + CF < P.
(a) Prove that AD < (AB + AC)/2.
(b) Let P=AB+AC+BC be the perimeter of triangle ABC. Prove that 3P/4 < AD + BE + CF < P.