a)
[tex] {b}^{2} + {20}^{2} = {25}^{2} \\ {b}^{2} + 400 = 625 \\ {b}^{2} = 225 \\ b = \sqrt{225} \\ b = 15[/tex]
b)
[tex] {30}^{2} + {40}^{2} = {x}^{2} \\ 900 + 1600 = {x}^{2} \\ 2500 = {x}^{2} \\ x = \sqrt{2500} \\ x = \sqrt{25 \times 100} \\ x = 5 \times 10 = 50[/tex]
c)
[tex] {4}^{2} + {p}^{2} = {6}^{2} \\ 16 + {p}^{2} = 36 \\ {p}^{2} = 20 \\ p = \sqrt{20} \\ p = \sqrt{4 \times 5} = 2 \sqrt{5} [/tex]
d)
[tex] {6}^{2} + {5}^{2} = {m}^{2} \\ 36 + 25 = {m}^{2} \\ 61 = {m}^{2} \\ m = \sqrt{61} [/tex]
e)
[tex] {w}^{2} + {5}^{2} = {13}^{2} \\ {w}^{2} + 25 = 169 \\ {w}^{2} = 144 \\ w = \sqrt{144} \\ w = 12[/tex]
Myślę że pomogłem ;)
