(1)
In Figure,
AD is a median of a triangle
ABC and
AM⊥BC.
Prove that :
(i)AC2=AD2+BC×DM+(BC2)2
(2)
In Figure,
AD is a median of a triangle
ABC and
AM⊥BC.
Prove that :
(ii)AB2=AD2−BC×DM+(BC2)2![](https://df0b18phdhzpx.cloudfront.net/ckeditor_assets/pictures/1505700/original_9.png)
(3)
In Figure,
AD is a median of a triangle
ABC and
AM⊥BC.
Prove that :
(iii)AC2+AB2=2AD2+12BC2
![](https://df0b18phdhzpx.cloudfront.net/ckeditor_assets/pictures/1505726/original_9.png)