Zad. 5
[tex]Pb=4*\frac{ah}2=2ah\\Pb=100\sqrt{3}cm^2\\(\frac12a)^2+h^2=a^2\\\frac14a^2+h^2=a^2/ -\frac14a^2\\h^2=\frac34a^2\\h=\sqrt{\frac34a^2}=a\sqrt{\frac34}\\\\100\sqrt3cm^2=2a*a\sqrt{\frac34} /:2\\50\sqrt3cm^2=a^2\sqrt{\frac34}:\sqrt{\frac34}\\\frac{50\sqrt3cm^2}{\sqrt{\frac34}}*\frac{\sqrt{\frac34}}{\sqrt{\frac34}}=a^2\\\frac{50\sqrt{3*\frac34}cm^2}{\frac34}=a^2\\50\sqrt{\frac94}*\frac43cm^2=a^2\\50*\frac32*\frac43cm^2=a^2\\50*2cm^2=a^2\\100cm^2=a^2\\a=10cm\\Pp=a^2\\Pp=100cm^2[/tex]
Odp. A
Zad. 6
Obwod siatki czworoscianu:
[tex]Ob=6a[/tex]
[tex]a=22,5cm\\Ob=22,5*6=135cm[/tex]
