Szczegółowe wyjaśnienie:
Wzory:
[tex]h=\dfrac{a\sqrt3}{2}\\\\P=\dfrac{a^2\sqrt3}{4}[/tex]
[tex]h=5\sqrt3cm\to\dfrac{a\sqrt3}{2}=5\sqrt3\qquad|\cdot2\\\\a\sqrt3=10\sqrt3\qquad|:\sqrt3\\\\\boxed{a=10cm}\\\\L=3a\to L=3\cdot10\\\\\boxed{L=30cm}\\\\P=\dfrac{10^2\sqrt3}{4}=\dfrac{100\sqrt3}{4}\\\\\boxed{P=25\sqrt4cm^2}[/tex]
[tex]P=81\sqrt3m^2\to\dfrac{a^2\sqrt3}{4}=81\sqrt3\qquad|\cdot4\\\\a^2\sqrt3=324\sqrt3\qquad|:\sqrt3\\\\a^2=324\to a=\sqrt{324}\\\\\boxed{a=18m}\\\\h=\dfrac{18\sqrt3}{2}\\\\\boxed{h=9\sqrt3m}\\\\L=3a\to L=3\cdot18\\\\\boxed{L=54m}[/tex]
