Odpowiedź:
d) h=3/2
e) h=[tex]\sqrt{\frac{3}{2} }[/tex]
f) h=3[tex]\sqrt{2}[/tex]
Szczegółowe wyjaśnienie:
d) [tex]h^{2}[/tex]+[tex](\frac{\sqrt{3} }{2} )^{2}[/tex]=[tex]\sqrt{3} ^{2}[/tex] => [tex]h^{2} + \frac{3}{4} =3 => h^{2} =\frac{9}{4} => h=\frac{3}{2}[/tex]
e) [tex]h^{2}[/tex]+[tex](\frac{\sqrt{2} }{2})^{2}[/tex]=[tex]\sqrt{2}^{2}[/tex] => [tex]h^{2} +\frac{1}{2} =2 => h^{2} =\frac{3}{2} => h=\sqrt{\frac{3}{2} }[/tex]
f) [tex]h^{2} +(\sqrt{6} )^{2} =(2\sqrt{6})^{2}[/tex] => [tex]h^{2}+6=24 => h^{2}=18 => h=\sqrt{18} => h=3\sqrt{2}[/tex]
