[tex]a)\\\\\text{Z wlasnosci trojkata o katach }90^\circ, 45^\circ, 45^\circ: \\\\a=\sqrt3\\b=\sqrt3\\c=\sqrt3*\sqrt2=\sqrt6\\\\P=\frac{ab}2 \to P=\frac{\sqrt3*\sqrt3}2=\frac32j^2\\Ob=a+b+c \to Ob=\sqrt3+\sqrt3+\sqrt6=2\sqrt3+\sqrt6[/tex]
[tex]b) \\\text{Z wlasnosci trojkata o katach }90^\circ, 60^\circ, 30^\circ:\\b=6\\b=a\sqrt3 \\a\sqrt3=6 /:\sqrt3\\a=\frac{6}{\sqrt3}=\frac{6\sqrt3}3=2\sqrt3\\c=2a=2*2\sqrt3=4\sqrt3\\\\P=\frac{ab}2\to P=\frac{2\sqrt3*6}2=6\sqrt3j^2\\Ob=a+b+c \to Ob=6+2\sqrt3+4\sqrt3=6\sqrt3+6[/tex]
