if 
is
the median, show that 
Answer:
Given In 
is the
median.
To prove 
Construction Draw 
Proof In right angled 
(using Pythagoras as the
theorem)?(i)
In right angled 
(1)
?(ii)(1)
[using Eq.
(i)]
In right angled 
?(iii)
[
is the
median from Eq. (1)]
On adding Eqs. (ii) and (iii)
we get
(1)
Hence Proved
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