Maths-
General
Easy
Question
In the figure, AD is a median to BC in
and
. and DE =

The correct answer is: Hence proved
Solution :-
Aim :- Prove that 
Hint :- apply in pythagoras theorem on triangles AEB , AEC and AED Find
and
values .Now, add them and do necessary modification to get in terms of p and a.
Explanation(proof ) :-
As D is mid point BD = DC = BC/2 = a/2
Applying pythagoras theorem to triangle AEB we get ,

Applying pythagoras theorem to triangle AEC we get ,


Applying pythagoras theorem to triangle AED we get ,

Adding Eq 1 and Eq 2
We get 
[By applying 


Substitute Eq3 in the above condition

Hence proved
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