\[\boxed{\mathbf{483.ОК\ ГДЗ - домашка\ на}\ 5}\]
\[\mathbf{Теорема\ Пифагора:}\]
\[a^{2} + b^{2} = c^{2};\]
\[где\ a\ и\ b - катеты;\]
\[c - гипотенуза.\]
\[\textbf{а)}\ a = 5;b = 8:\]
\[c^{2} = 36 + 64 = 100\]
\[c = 10.\]
\[\textbf{б)}\ a = 5;b = 6:\]
\[c = 25 + 36 = 61\]
\[c = \sqrt{61}.\]
\[\textbf{в)}\ a = 3;b = \frac{4}{7}:\]
\[c^{2} = \frac{9}{49} + \frac{16}{49} = \frac{25}{49}\]
\[c = \frac{5}{7}.\]
\[\textbf{г)}\ a = 8;b = 8\sqrt{3}:\]
\[c^{2} = 64 + 64 \bullet 3 = 256\]
\[c = 16.\]