In a triangle \( A B C \), which of the following quantities denote the area of the triangle?....

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In a triangle \( A B C \), which of the following
P
quantities denote the area of the triangle?
(1) \( \frac{a^{2}-b^{2}}{2}\left(\frac{\sin A \sin B}{\sin (A-B)}\right) \)
(2) \( \frac{r_{1} r_{2} r_{3}}{\sqrt{\sum r_{1} r_{2}}} \)
(3) \( \frac{a^{2}+b^{2}+c^{2}}{\cot A+\cot B+\cot C} \)
(4) \( r^{2} \cot \frac{A}{2} \cdot \cot \frac{B}{2} \cot \frac{C}{2} \)


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