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

If D is the mid-point of the side BC of a triangle ABC, prove that vec AB+vec AC=2vec AD .

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

In the given figure, P is the mid-point of side BC of a parallelogram ABCD such that angleBAP=angleDAP. Prove that AD = 2CD.

In DeltaABC, if D is any point on the side BC, show that (AB+BC+AC)gt 2AD.

In Figure,P, is any point on the chord BC of a circle such that AB=AP. Prove that CP=CQ.

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

In the given figure, E is a point on side CB produced of an isosceles Delta ABC with AB=AC. . If AD bot BC and EF bot AC , prove tha Delta ABD~ Delta ECF

In the given figure, D is a point on side BC of a DeltaABC and E is a point such that CD = DE. Prove that AB+ACgtBE .

In the given figure, DB bot BC, DE bot AB and AC bot BC . Prove that (BE)/(DE)=(AC)/(BC)

In DeltaABC, D is any point on side BC. Prove that AB+BC+CA gt 2AD