Well,i doubt whether v can prove if 45-45-90 is possible here..
A is clearly insufficient.
stmnt B=
let midpt of BC be - x
Hence, BX=BC=2 ----- GIVEN
Now,as triangle EXC is right angled,and as we know the 2 given sides of that triangle we can find Side EX...
Now,let Y be point on side DC...if we observe EY has length similar to that of XC..We can clearly say that EY=XC=2..
Therefore, as we know that triangle EYC is right angled and as we know 2 sides,by using pythagoras,we can find the remaining side..
hence we have found the values of all sides,we can find its area..
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