" (iii) "AC^(2)+AB^(2)=2AD^(2)+(1)/(2)BC^(2)

In Delta ABC , AD is a median and AM _|_ BC.Prove that (a) AC^(2) = AD^(2) +BC.DM+ ((BC)/(2))^(2) (b) AB^(2) = AD^(2) -BC.DM+ ((BC)/(2))^(2) (c ) AC^(2) + AB^(2) = 2AD^(2) +(1)/(2) BC^(2)

In a triangle ABC,AC>AB,D is the mid- point of BC and AE perp BC .Prove that: (i) AB^(2)=AD^(2)-BCDE+(1)/(4)BC^(2)( (ii) AB^(2)+AC^(2)=2AD^(2)+(1)/(2)BC^(2)

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

In a Delta ABC, AD is a median and AL bot BC . Prove that (a) AC^(2)=AD^(2)+BC*DL+((BC)/(2))^(2) (b) AB^(2)=AD^(2)-BC*DL+((BC)/(2))^(2) (c) AC^(2)+AB^(2)=2AD^(2)=2AD^(2)+(1)/(2)BC^(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 . AD is a median of a triangle ABD and AM bot BC. Prove that : AC^(2)+AB^(2)=2AD^(2)+1/2 BC^(2)

In Fig.6.60, AD is a median of a triangle ABC and AM_|_BC .Prove that :(iii) AC^2+AB^2=2AD^2+1/2BC^2

In a triangle ABC,angleB=35^(@) and angleC=55^(@) .Write of the following is true AC^(2)=AB^(2)+BC^(2) AB^(2)=BC^(2)+AC^(2) BC^(2)=AB^(2)+AC^(2)

In an acute angled triangle ABC, AD is the median in it. Prove that : AD^(2) = (AB^(2))/2 + (AC^(2))/2 - (BC^(2))/4