Properties Of Triangles

In \(\triangle \mathrm{ABC}\), with usual notations, \(\mathrm{m} \angle \mathrm{C}=\frac{\pi}{2}\), if \(\tan \left(\frac{A}{2}\right)\) and \(\tan \left(\frac{B}{2}\right)\) are the roots of the equation \(a_1 x^2+b_1 x+c_1=0\left(a_1 \neq 0\right)\), then