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In acute angled triangle ABC, AD is medi...

In acute angled triangle ABC, AD is median and AE is altitude , prove that:
(i) ` AC^(2) = AD^(2)+BC xx DE + 1/4 BC^(2)`
(ii) `AB^(2)= AD^(2)- BC xx DE+ 1/4 BC^(2)`
(iii) ` AC^(2) + AB^(2) = 2AD^(2) + 1/2 BC^(2)`

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