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In the adjoining figure, \( D \) is a point on \( B C \) such that \( \angle A B D = \angle C A D \) . If \( A B = 5 \mathrm { cm } , A C = 3 \mathrm { cm } \) and \( A D = 4 \mathrm { cm } \) , find (i) BC (h) DC (iil) area of \( \Delta \mathrm { ACD } \) : area of \( \Delta \mathrm { BCA } \) .8

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