In any triangle ABC, prove that `AB^2 + AC^2 = 2(AD^2 + BD^2)` , where D is the midpoint of BC.

In ABC Prove that AB^(2)+AC^(2)=2(AO^(2)+BO^(2)), where O is the middle point of BC

In triangle ABC, AD is a median. Prove that AB + AC gt 2AD

Prove that the resultant of the vectors represented by the sides vec(AB) and vec(AC) of a triangle ABC is 2 vec(AD) , where D is the mid - point of [BC].

In triangle ABC ,if AB=sqrt(2),AC=sqrt(20) ,B=(3,2,0),C=(0,1,4) and D is the midpoint of BC then AD=

In quadrilatcal ABCD,prove that AB+BC+CD+AD<2(BD+AC)

In a Delta ABC , angleB is an acute-angle and AD bot BC Prove that : (i) AC^(2) = AB^(2) + BC^(2) - 2 BC xx BD (ii) AB^(2) + CD^(2) = AC^(2) + BD^(2)

In Figure 2,AD perp BC. Prove that AB^(2)+CD^(2)=BD^(2)+AC^(2)

In right-angled triangle ABC in which /_C=90^(@), if D is the mid-point of BC, prove that AB^(2)=4AD^(2)-3AC^(2)

In the given figure if AD bot BC prove that AB^(2)+CD^(2)= BD^(2) +AC^(2)