b) wzór na pole w trójkącie równobocznym: [tex]\frac{a^{2}* \sqrt{3}}{4}\\[/tex]
[tex]16\sqrt{3} cm^{2} =\frac{ a^{2} *\sqrt{3} }{4}\\64cm^{2} = a^{2} \\8cm^{2} = a\\obw = 3*a = 3*8cm = 24cm\\b)6\sqrt{3}cm^{2} = \frac{ a^{2} *\sqrt{3} }{4}\\24 = a^{2} \\a = \sqrt{24} = \sqrt{4*6} = 2\sqrt{6} \\obw = 3*2\sqrt{6} = 6\sqrt{6}[/tex]
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b) wzór na pole w trójkącie równobocznym: [tex]\frac{a^{2}* \sqrt{3}}{4}\\[/tex]
[tex]16\sqrt{3} cm^{2} =\frac{ a^{2} *\sqrt{3} }{4}\\64cm^{2} = a^{2} \\8cm^{2} = a\\obw = 3*a = 3*8cm = 24cm\\b)6\sqrt{3}cm^{2} = \frac{ a^{2} *\sqrt{3} }{4}\\24 = a^{2} \\a = \sqrt{24} = \sqrt{4*6} = 2\sqrt{6} \\obw = 3*2\sqrt{6} = 6\sqrt{6}[/tex]