8. 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
DM = CM. Point D is joined to point B
(see Fig. 7.23). Show that:
(i) A AMC = A BMD
(ii) Z DBC is a right angle.
(iii) A DBC=AACB
(iv)
CM=\frac{1}{2}AI
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