In the adjoining figure a square of maximum possible area is circumscribed by the right angle triangle ABC in such a way that one of its side just lies on the hypotenuse of the triangle . What is the area of the square ?

Options

A. `((abc)/(a^(2) + b^(2) + ab))^(2) `
B. `(a^(2) + b^2 + c^2)/(abc) `
C. `(abc)/(a^(2) + b^(2) + c^(2))`
D. none of these

Answer

A