If O is point in the exterior of `triangleABC`,show that `2(OA+OB+OC)gt(AB+BC+CA)`

If O is a point within a quadrilateral ABCD, show that OA+OB+OC+OD gt AC+BD.

O is any point in the interior of ABC .Prove that AB+AC>OB+OCAB+BC+CA>OA+OB+OCOA+OB+OC>(1)/(2)(AB+BC+CA)

If G is the centroid of triangleABC and O is any point in the plane of triangleABC , show that (1) bar(GA)+bar(GB)+bar(GC)=bar(0) (2) bar(OA)+bar(OB)+bar(OC)=3bar(OG) .

Let O be any point in the interior of DeltaABC , prove that : AB+BC+CA lt 2 (OA+OB+OC)

'O' is any point in the interior of a Delta ABC prove that AB+BC+CA>OA+OB+OC

AM is median of triangleABC , prove that (AB+BC+CA) gt2AM .

O is a point in the exterior of ABC .what symbol >,quad (1)/(2)(AB+BC+CA)

In the given figure ,P is a point on the side BC of triangleABC .Prove tat (AB+BC+AC)GT2AP

D, E, F are the midpoints of the sides BC, CA and AB respectively of triangleABC and O is any point in the plane of triangleABC . Show that (1) bar(AD)+bar(BE)+bar(CF)=bar(0)

Diagonals AC and BD of a trapezium ABCD with AB|DC intersect each other at the point O.Using a similarity criterion for two triangles,show that (OA)/(OC)=(OB)/(OD)