If ```Delta` represents the area of acute angled triangle ABC, then `sqrt(a^2b^2-4Delta^2)+sqrt(b^2c^2-4Delta^2)+sqrt(c^2a^2-4Delta^2)=` (a) `a^2+b^2+c^2` (b) `(a^2+b^2+c^2)/2` (c) `a bcosC+bc cosA+c acosB` (d) `a bsinC+b csinA+c asinB`

Options

A. `a^(2)+ b^(2) + c^(2)`
B. `(a^(2) + b^(2) + c^(2))/(2)`
C. `ab cos C + bc cos A + ca cos B`
D. `ab sin C + bc sin A + ca sin B`

Explanation

To solve the problem, we need to evaluate the expression:

\[ \sqrt{a^2b^2 - 4\Delta^2} + \sqrt{b^2c^2 - 4\Delta^2} + \sqrt{c^2a^2 - 4\Delta^2} \]

where \(\Delta\) is the area of the acute-angled triangle ABC.

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