Odpowiedź:
Z tego co rozumiem to:
a) a = [tex]\sqrt{10}[/tex]
h = [tex]\frac{\sqrt{10}*\sqrt{3} }{2}[/tex] = [tex]\frac{\sqrt{30} }{2}[/tex]
P = [tex]\frac{\sqrt{10} ^{2} \sqrt{3} }{4}[/tex] = [tex]\frac{10 \sqrt{3} }{4}[/tex] = [tex]\frac{5 \sqrt{3} }{2}[/tex]
b) a = [tex]2\sqrt{5}[/tex]
h = [tex]\frac{2\sqrt{5}*\sqrt{3} }{2}[/tex] = [tex]\frac{2\sqrt{15} }{2}[/tex] = [tex]\sqrt{15}[/tex]
P = [tex]\frac{(2\sqrt{5}) ^{2} \sqrt{3} }{4}[/tex] = [tex]\frac{20 \sqrt{3} }{4}[/tex] = [tex]{5 \sqrt{3} }[/tex]
c) a = [tex]7\sqrt{3}[/tex]
h = [tex]\frac{7\sqrt{3}*\sqrt{3} }{2}[/tex] = [tex]\frac{21}{2}[/tex] = 10,5
P = [tex]\frac{(7\sqrt{3}) ^{2} \sqrt{3} }{4}[/tex] = [tex]\frac{147 \sqrt{3} }{4}[/tex]
Szczegółowe wyjaśnienie:
h = [tex]\frac{a\sqrt{3} }{2}[/tex]
P = [tex]\frac{a^{2} \sqrt{3} }{4}[/tex]