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 such that angle DBC = 90° then show that:
(a) triangle AMC congruent to traingle BMD
(b) Triangle DBC= triangle ACB
(c) CM = 1/2AB
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