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(10) In a right angled triangle ABC right angled at C. M is the midpoint of hypotenuse AB. Cis joined to Mand produced to a point D such that DM = CM. Point D is joined to point B show that: (i) AAMC = ABMD (ii) ZDCB is a right angle. (iii) ADBC = A ACB (iv) CM = AB.

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