Question

Un triunghi dreptunghic isoscel are aria egala cu 32 . Lungimea catetei este ,?

Answer 1

A unui triunghi drept. isoscel = cateta ^2/2 
32 = c^2/2 
c^2 = 32x2 = 64 
c = $\sqrt{64}$ = 8 

Answer 2

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