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