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. Show that
i) Δ AMC ≅ Δ BMD
ii) DBC is a right angle D A
iii) Δ DBC ≅ Δ ACB M
iv) CM = 1⁄2 AB
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