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O is the a point in the interior of Delt...

O is the a point in the interior of `Delta ABC, OD bot BC, OE bot AC and AC and OF bot AB`, as shown in the figure,

Prove that :
`(i) OA^(2)+OB^(2)+OC^(2)-OD^(2)-OD^(2)-OF^(2)=AF^(2)+BD^(2)+CE^(2)`
(ii) `AF^(2)+BD^(2)+CE^(2)=AD^(2)+BF^(2)+CD^(2)`

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O is a point in the interior of Delta ABC, OD bot BC, OE bot AC and OF bot AB , as shown in the figure, Prove that : (i) OA^(2)+OB^(2)+OC^(2)-OD^(2)-OE^(2)-OF^(2)=AF^(2)+BD^(2)+CE^(2) (ii) AF^(2)+BD^(2)+CE^(2)=AD^(2)+BF^(2)+CD^(2)

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