[tex]a) \\6^2+8^2 = c^2\\36 + 64 = c^2\\c = \sqrt{100}\\c = 10\\\\b) \\5^2 + 13^2 = c^2\\25 + 169 = c^2\\194 = c^2\\c = \sqrt{194}[/tex]
[tex]c) \\15^2+17^2 = c^2\\225 + 289 = c^2\\514 = c^2\\c = \sqrt{514}[/tex]
[tex]d)\\50^2 + 14^2 = c^2\\2500 + 196 = c^2\\2696 = c^2\\c = \sqrt{2696} = \sqrt{4*674} = 2 \sqrt{674}[/tex]
[tex]e) \\24^2+10^2 = c^2\\576 + 100 = c^2\\c^2 = 676\\c = \sqrt{676} = \sqrt{4*169} = 2\sqrt{169}[/tex]
[tex]f)\\15^2 + 12^2 = c^2\\225 + 144 = c^2\\369 = c^2\\c = \sqrt{369} = \sqrt{9*41} = 3\sqrt{41}[/tex]
