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

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

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

In triangleABC , anglaBAC = 90^@ , if CD is a median of triangleABC , then prove that BC^2= CD^2+3AD^2 .

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

AM is a median of s triangle ABC. Is AB+BC+CA > 2AM? (Consider the sides of triangles DeltaABM and DeltaAMC.

AM is a median of s triangle ABC. Is AB+BC+CA>2AM? (Consider the sides of triangles Delta ABM and Delta AMC.

In Fig.6.60, AD is a median of a triangle ABC and AM_|_BC .Prove that :(ii) AB^2=AD^2-BC.DM+((BC)/2)^2

In figure, AD is a median of a triangle ABC and AM bot BC. Prove that AB ^(2) = AD ^(2)- BC. DM + ((BC)/( 2 )) ^(2)

In figure, AD is a median of a triangle ABC and AM bot BC. Prove that AC ^(2) + AB ^(2) = 2 AD ^(2) + (1)/(2) BC ^(2).

In Fig.6.60, AD is a median of a triangle ABC and AM_|_BC .Prove that :(i) AC^2=AD^2+BC.DM+((BC)/2)^2