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Question -

In the given figure, O is a point in theinterior of a triangle ABC, OD ⊥ BC, OE ⊥ AC and OF ⊥ AB. Show that



Answer -

(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 + BF_2

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