Question
In right triangle ABC, right angles 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.). Show that :
(i) △AMC=△BMD
(II) ∠DBC is a right angle.
(iii) △DBC=△ACB
(iv) CM=1/2 AB
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