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We need to prove
To do that extended AD to E such that DE = m
Now observe in
∆ADE & ∆CDB
AD = CD ( Median )
CD = DE = m
Angle ADE = CDB ( opposite angles )
So both are congruent
EA = BC = z
Finally
Use property in a triangle a side is less then sum of other two sides in ∆ACE .
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