[tex]a^2+b^2=c^2[/tex]
[tex]a)\\c=13cm\\a=12cm\\(12cm)^2+b^2=(13cm)^2\\144cm^2+b^2=169cm^2 /-144cm^2\\b^2=25\\b=\sqrt{25}\\b=5\\\\b)\\c=\sqrt{15}m\\b=\sqrt{7}m\\a^2+(\sqrt7m)^2=(\sqrt{15}m)^2\\a^2+7m^2=15m^2 /-7m^2\\a^2=8m^2\\a=\sqrt{8m^2}\\a=\sqrt{4*2}m\\a=2\sqrt2m\\\\c)\\c=16cm\\b=8\sqrt3cm\\a^2+(8\sqrt3cm)^2=(16cm)^2\\a^2+192cm^2=256cm^2 /-192cm^2\\a^2=64cm^2\\a=\sqrt{64cm^2}\\a=8cm\\\\d)\\a=6cm\\c=1dm=10cm\\(6cm)^2+b^2=(10cm)^2\\36cm^2+b^2=100cm^2 /-36cm^2\\b^2=64cm^2\\b=\sqrt{64cm^2}\\b=8cm[/tex]
[tex]e)\\c=25dm\\a=20dm\\(20dm)^2+b^2=(25dm)^2\\400dm^2+b^2=625dm^2 /-400dm^2\\b^2=225dm^2\\b=\sqrt{225cm^2}\\b=15dm\\\\f)\\a=12cm\\c=14cm\\(12cm)^2+b^2=(14cm)^2\\144cm^2+b^2=196cm^2 /-144cm^2\\b^2=52cm^2\\b=\sqrt{52cm^2}\\b=\sqrt{13*4}cm\\b=2\sqrt{13}cm\\\\g)\\a=3\sqrt2dm\\c=9dm\\(3\sqrt2dm)^2+b^2=(9dm)^2\\18dm^2+b^2=81dm^2 /-18dm^2\\b^2=63dm^2\\b=\sqrt{63dm^2}\\b=\sqrt{9*7}dm\\b=3\sqrt7dm\\[/tex]
[tex]h)\\b=2\sqrt{11}m\\c=7m\\a^2+(2\sqrt{11}m)^2=(7m)^2\\a^2+44m^2=49m^2 /-44m^2\\a^2=5m^2\\a=\sqrt{5m^2}\\a=\sqrt5m[/tex]
