In `Delta ABC , D` is the midpoint of BC and `AE bot BC`. If `AC gtAB`, show that `AB^(2)=AD^(2)-BC*DE+(1)/(4)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 a triangle ABC, D is midpoint of side BC. If ACgtAB and AE_|_BC , then prove that AB^(2)=AD^(2)-BC.ED+(1)/(4)BC^(2)

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

In Delta ABC , AD_|_ BC which intersects BC at D. If BD =3 CD , then prove that 2AB^(2) = 2AC^(2)+BC^(2)

In Fig . AD is a median of a triangle ABD and AM bot BC. Prove that : AC^(2)=AD^(2)+BC. DM+((BC)/(2))^(2)