[tex]przekatna\ kwadratu\ d=8\\\\pole\ kwadratu:\ \ P=?\\\\wzor\ na\ przekatna\ kwadratu :\\\\d=a\sqrt{2}\\\\a\sqrt{2}=8\ \ |:\sqrt{2}\\\\a=\frac{8}{\sqrt{2}}*\frac{\sqrt{2}}{\sqrt{2}}=\frac{8\sqrt{2}}{2}=4\sqrt{2}\\\\P=a^2\\\\P=(4\sqrt{2})^2=16*2=32\ [j^2][/tex]
[tex]II \ wersja ,\\\\pole\ mozna\ policzyc\ ze\ wzoru\ na\ przekatne:\\\\P=\frac{1}{2}d*d=\frac{1}{2}d^2\\\\P=\frac{1}{2}*8^2=\frac{1}{2}*64=32\ [j^2][/tex]
