A geometry problem by karthik dontula

Geometry Level pending

If in triangle A B C ABC , it is given that ( area of triangle ) 2 = a 2 ( b c ) 2 (\text{area of triangle})^2=a^2-(b-c)^2 . Then find the value of tan ( A / 2 ) \tan(A/2) .

Where a = B C , b = A C , c = A B a=BC,b=AC,c=AB .


The answer is 0.25.

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