Question

determine a medida do lado de um quadrado cuja diagonal é:
a)4 raiz de 2
b)2

Answer 1

$\boxed{D = l\sqrt{2}}$

Substituindo:

a)
$D = l\sqrt{2} \\\\ 4\sqrt{2} = l\sqrt{2} \\\\ l = \frac{4\sqrt{2}}{\sqrt{2}} \\\\ \boxed{\boxed{l = 4}}$

b)
$D = l\sqrt{2} \\\\ 2 = l\sqrt{2} \\\\ l = \frac{2}{\sqrt{2}} \cdot \frac{\sqrt{2}}{\sqrt{2}} = \frac{2\sqrt{2}}{\sqrt{4}} = \frac{\not 2\sqrt{2}}{\not 2} = \boxed{\boxed{\sqrt{2}}}$