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In right triangle ABC, right angled at ...

In right triangle ABC, 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) `DeltaA M C~=DeltaB M D`(ii) `/_

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`1/2` AB
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