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In a triangle A B C ,\ A C > A B , D i...

In a triangle `A B C ,\ A C > A B` , `D` is the mid-point of `B C` and `A E_|_B C` . Prove that: (i) `A B^2=A D^2-B C . D E+1/4B C^2 ` (ii) ` A B^2+A C^2=2\ A D^2+1/2B C^2`

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