[tex]x^{2} +[/tex]Odpowiedź:
1.B
2.
a)[tex]3\sqrt{11}[/tex]
b)[tex]\sqrt{34}[/tex]
c)12
3.B
Szczegółowe wyjaśnienie:
1.
[tex]7^{2} + x^{2} =12^{2} \\x^{2} =12^{2} -7^{2} \\x^{2} =144-49\\x^{2} =95\\x=\sqrt{95}[/tex]
2.
a)
[tex]8^{2} +6^{2} =x^{2} \\64+36=x^{2} \\x^{2} =99\\x=\sqrt{99} \\x= \sqrt{9*11}\\x=3\sqrt{11}[/tex]
b)
[tex]5^{2} +3^{2} =x^{2} \\25+9=x^{2} \\x^{2} =34\\x= \sqrt{34}\\[/tex]
c)
[tex]5^{2} +x^{2} =13^{2} \\x^{2} = 169-25\\x^{2} =144\\x=\sqrt{144} = 12[/tex]
3.
[tex]9^{2} +9^{2} =x^{2} \\81+81=x^{2} \\x^{2} = 162\\x= \sqrt{162} = \sqrt{81*2} \\x=9\sqrt{2}[/tex]
