a)
[tex]b^2 + 20^2 = 25^2\\b^2 + 400 = 625\\b^2 = 225\\b = \sqrt{225}\\ b = 15[/tex]
b)
[tex]x^{2} = 30^2 + 40^2\\x^2 = 900 + 1600\\x^2 = 2500 \\x = \sqrt{2500}\\x = 50[/tex]
c)
[tex]4^{2} + p^2 = 6^2\\16 + p^2 = 36\\p^2 = 20\\p = \sqrt{20}\\ p = 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]
Szczegółowe wyjaśnienie:
