[tex]x^2+3^2=5^2\\x^2+9=25 /-9\\x^2=16\\\underline{x=4}[/tex]
[tex]x^2+12^2=13^2\\x^2+144=169 /-144\\x^2=25\\\underline{x=5}[/tex]
[tex]a^2+11^2=(10\sqrt2)^2\\a^2+121=100*2\\a^2=200-121\\a^2=79\\\underline{a=\sqrt{79}}[/tex]
[tex](\sqrt{17})^2+(4\sqrt3)^2=m^2\\17+16*3=m^2\\m^2=17+48\\m^2=65\\\underline{m=\sqrt{65}}[/tex]