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‘O’ is any point in the interior of a tr...

‘O’ is any point in the interior of a triangle ABC. If ` OD bot BC, OE bot`AC and OF `bot` AB, show 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) = AE^(2) + CD^(2) + BE^(2)`.

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