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In the figure given below, O is point i...

In the figure given below, `O` is point in the interior of a triangle ABC, `OD _|_ BC`, `OE _|_ AC` and `OF _|_ AB`. Show that
(i) `OA^(2) + OB^(2) + OC^(2) + OD^(2) - OE^(2) - OF^(2) = AR^(2) + BD^(2) + CE^(2)`
(ii) `AF^(2) + BD^(2) + CE^(2) = AE^(2) + CD^(2) + BF^(2)`

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