[tex]\left\| \begin{array}{c}A_{\big{\bigtriangleup_{\big{dreptunghic ~ isoscel}}}} =\dfrac{C\cdot C}{2} \\ A_{\big{\bigtriangleup_{\big{dreptunghic ~ isoscel}}}} =32\quad $ $ $ $ \end{array} \right|\Rightarrow \dfrac{C\cdot C}{2} = 32 \Rightarrow C^2 = 32\cdot 2 \Rightarrow \\ \\ \\ \Rightarrow C^2 = 64 \Rightarrow C= \pm \sqrt{64},$ dar, $ ($cateta este o lungime) \Rightarrow C =\sqrt{64}\Rightarrow \\ \\ \Rightarrow \boxed{C = 8}[/tex]
