Pole trójkąta równobocznego wyraża się wzorem:
[tex]P = \frac{a^{2}\sqrt{3}}{4}\\\\\\a)\\P = \sqrt{3} \ cm^{2}\\\\\frac{a^{2}\sqrt{3}}{4} = \sqrt{3} \ \ \ |\cdot4\\\\a^{2}\sqrt{3} = 4\sqrt{3} \ \ \ |:\sqrt{3}\\\\a^{2} = 4\\\\a = \sqrt{4}\\\\\boxed{a = 2 \ cm}[/tex]
[tex]b)\\P = 4\sqrt{3} \ cm^{2}\\\\\frac{a^{2}\sqrt{3}}{4} = 4\sqrt{3} \ \ \ |\cdot4\\\\a^{2}\sqrt{3} = 16\sqrt{3} \ \ \ \:\sqrt{3}\\\\a^{2} = 16\\\\a = \sqrt{16}\\\\\boxed{a = 4 \ cm}[/tex]
