[tex]a)\sqrt{6^2 + 8^2} = \sqrt{36 + 64} = \sqrt{100} = 10\\b)\sqrt{5^2 + 12^2} = \sqrt{25 + 144} = \sqrt{169} = 13\\c)\sqrt{8^2 + 12^2} = \sqrt{64 + 144} = \sqrt{208} = 4\sqrt{13}[/tex]