Odpowiedź:
Pp = [tex]\frac{1}{2}[/tex] * h * a
h z pitagorasa
[tex]4^{2}[/tex] + [tex]h^{2}[/tex] = [tex]8^{2}[/tex]
16 + [tex]h^{2}[/tex] = 64
[tex]h^{2}[/tex] = 64 - 16
[tex]h^{2}[/tex] = 48
h = [tex]\sqrt{48}[/tex]
h = [tex]4\sqrt{3}[/tex]
Pp = [tex]\frac{1}{2}[/tex] * h * a = [tex]\frac{1}{2}[/tex] * [tex]4\sqrt{3}[/tex] * 8 = 4 * [tex]4\sqrt{3}[/tex] = 16[tex]\sqrt{3}[/tex]
Pb = 3( [tex]\frac{1}{2}[/tex] * h * a )
h z pitagorasa
[tex]4^{2}[/tex] + [tex]h^{2}[/tex] = [tex](2\sqrt{5}) ^{2}[/tex]
16 + [tex]h^{2}[/tex] = 20
h = [tex]\sqrt{4}[/tex]
h = 2
Pb = 3( [tex]\frac{1}{2}[/tex] * h * a ) = 3( [tex]\frac{1}{2}[/tex] * 2 * 8 ) = 3 * 8 = 64
Pc = [tex]4\sqrt{3}[/tex] + 64
Szczegółowe wyjaśnienie: