AD, BE and CF are the medians of triangle ABC whose centroid is G. If the points A, F, G and E are concyclic, then prove that `2a^(2) = b^(2) + c^(2)`

If AD, BE and CF are medians of triangle ABC then prove that median AD divides line segment EF.

BE and CF are perpendicular on sides AC and AB of triangles ABC respectively . Prove that four points B , C ,E , F are concyclic. Also prove that the two angles of each of DeltaAEFandDeltaABC are equal.

A=(1,3,-2) is a vertex of triangle ABC whose centroid is G=(-1,4,2) then length of median through A is

AD is a median of triangle ABC. Prove that : AB+AC gt 2AD

AD, BE and CF asre the medians of a triangle ASBC intersectiing in G. Show that /_\AGB=/_\BGC=/_\CGA=1/3/_\ABC .

AD, BE and CF asre the medians of a triangle ASBC intersectiing in G. Show that /_\AGB=/_\BGC=/_\CGA=1/3/_\ABC .

ABC is a triangle.G is the centroid.D is the mid point of BC.If A =(2,3) and G =(7,5), then the point D is