[tex]PP=\frac{3*4^{2}\sqrt{3} }{2} =\frac{48\sqrt{3} }{2} =24\sqrt{3}[/tex]
[tex]PB=6*\frac{1}{2}a*h\\[/tex]
PC=PP+PB
żeby wyliczyć h używamy twierdzenie pitagorasa
[tex]2^{2}+h^{2} =6^{2} \\4+h^{2} =36\\h^{2}=36-4\\ h^{2} =32\\h=\sqrt{32} =\sqrt{16*2}=4\sqrt{2}[/tex]
podstawiamy h
[tex]PB=6*\frac{1}{2} *4*4\sqrt{2} =3*4*4\sqrt{2} =12*4\sqrt{2}=48\sqrt{2}[/tex]
[tex]PC=24\sqrt{3} +48\sqrt{2}[/tex]
drugi ostrosłup
[tex]PP=a*a=10*10=100[/tex]
[tex]PB=4*\frac{1}{2} *9*h[/tex]
tak samo obliczamy wysokość jak w przykładzie pierwszym
[tex]5^{2} +h^{2}=9^{2} \\25+h^{2} =81\\h^{2} =81-25\\h^{2}=56\\h=\sqrt{56} \\[/tex]
[tex]PB= 4*\frac{1}{2} *9*\sqrt{56}=18\sqrt{56[/tex]
[tex]PC=100+18\sqrt{56}[/tex]
i ostatnim
[tex]PB=3*\frac{1}{2}*41*h[/tex]
obliczamy h
[tex]9^{2} +h^{2} =41^{2} \\81+h^{2} =1681\\h^{2} =1681-81\\h^{2}= 1600\\h=40[/tex]
[tex]PP=\frac{18^{2} \sqrt{3} }{4} =\frac{324\sqrt{3} }{4} =81\sqrt{3}[/tex]
[tex]PP=3*\frac{1}{2}*41*40=1,5*41*40= 2460[/tex]
[tex]PC=2460+81\sqrt{3}[/tex]
