a)
a = 10 cm
P_\Delta=\frac{10^2*\sqrt3}{4}=\frac{\not100^{25} \ \sqrt3}{\not4^1}=25\sqrt3 \ [cm^2]
b)
a = 3,5 m
3,5m=\frac{35}{10}=\frac{7}{2} \ m
P_\Delta=\frac{3,5^2\sqrt3}{4}=\frac{(\frac{7}{2})^2*\sqrt3}{4}=\frac{\frac{49}{4}*\sqrt3}{4}=\frac{49\sqrt3}{4}*\frac{1}{4}=\frac{49\sqrt3}{16} \ [m^2]
c)
a=2/3 m
P_\Delta=\frac{(\frac{2}{3})^2*\sqrt3}{4}=\frac{\frac{4}{9}\sqrt3}{4}=\frac{\not4^1\sqrt3}{9}*\frac{1}{\not4^1}=\frac{\sqrt3}{9}\ [m^2]
d)
a=\sqrt6 \ cm
P_\Delta=\frac{6^2\sqrt3}{4}=\frac{\not36^9 \ \sqrt3}{\not4^1}=9\sqrt3\ [cm^2]
e)
a=2\sqrt3
P_\Delta=\frac{(2\sqrt3)^2*\sqrt3}{4}=\frac{2^2*(\sqrt3)^2*\sqrt3}{4}=\frac{\not4^1*3*\sqrt3}{\not4^1}=3\sqrt3 \ [j^2] jednostek kwadratowych