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Question
8 In right triangle \( A B C , \) right angled at \( C , M \) is
the mid-point of hypotenuse AB. C is joined \( = \) to \( M \) and produced to a point \( D \) such that
\( D M = C M \). Point \( D \) is joined to point \( B \) (see Fig. 7.23 ). Show that (i) \( \Delta \mathrm { AMC } \cong \Delta \mathrm { BMD } \) (iii) \( \triangle D B C \) is a right angle.
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