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2) In right angled \( A B C , \angle C = 90 ^ { \circ } . M \) is the mid-point of hypotenuse \( A B . C \) is joined to \( M \) and produced to a point \( D \) such that \( D M = C M . \) Point \( D \) is joined to point \( B . \) Show that \( ( i ) \Delta A M C = \Delta B M D ( i i ) \angle D B C = \angle A C B \)

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