zadanie 2
rysunki na zdj
a)
[tex]3 {}^{2} + 4 {}^{2} = x {}^{2} \\ 9 + 16 = x {}^{2} \\ 25 = x {}^{2} \\ x = \sqrt{25 } \\ x = 5[/tex]
b)
[tex] 1 {}^{2} + y {}^{2} = 10 {}^{2} \\ 1 + y {}^{2} = 100 \\ y { }^{2} = 100 - 1 \\ y = \sqrt{99} = \sqrt{9 \times 11} \\ y = 3 \sqrt{11} [/tex]
zadanie 3
a)
[tex]12 {}^{2} + x {}^{2} = 13 {}^{2} \\ 144 + x {}^{2} = 169 \\ x { }^{2} = 169 - 144 \\ x {}^{2} = 25 \\ x = 5[/tex]
b)
[tex]2 {}^{2} + y {}^{2} = 4 {}^{2} \\ 4 + y {}^{2} = 16 \\ y {}^{2} = 16 - 4 \\ y { }^{2} = 12 \\ y = \sqrt{12} \\ y = 2 \sqrt{3} [/tex]
