Odpowiedź:
zad.1
przekątna---[tex]a\sqrt{2}[/tex]
a)[tex]5\sqrt{2}[/tex]
b)[tex]8\sqrt{2}[/tex]
c)[tex]0,25\sqrt{2}[/tex]
d)[tex]\sqrt{2}* \sqrt{2}=2[/tex]
e)[tex]\sqrt{3}*\sqrt{2}=\sqrt{6}[/tex]
zad.2
a)[tex]\frac{8\sqrt{2}}{\sqrt{2}} =8[/tex]
b)[tex]\frac{3}{\sqrt{2}} =\frac{3\sqrt{2}}{2}[/tex]
c)[tex]\frac{2y}{\sqrt{2}} =\sqrt{2}y[/tex]
zad.3
a)Obw=[tex]10+10+10\sqrt{2}=20+10\sqrt{2}[/tex]
P=10*10=100
b)|AB|=|AC|=[tex]\frac{12}{\sqrt{2}} =6\sqrt{2}[/tex]
Obw=[tex]6\sqrt{2}*2+12=12\sqrt{2}+12[/tex]
P=[tex]6\sqrt{2}*6\sqrt{2}=72[/tex]
c)|AC|=|CB|=[tex]\frac{14}{\sqrt{2}} =7\sqrt{2}[/tex]
Obw=[tex]7\sqrt{2}*2+14=14\sqrt{2}+14[/tex]
P=[tex]7\sqrt{2}*7\sqrt{2}=98[/tex]
