$
\text{Gegeben:}\\ \text{Kathete} \qquad a \qquad [m] \\
\text{Kathete} \qquad b \qquad [m] \\
\\ \text{Gesucht:} \\\text{Hypotenuse} \qquad c \qquad [m] \\
\\ c =\sqrt{a^{2} + b^{2} }\\ \textbf{Gegeben:} \\ a=\frac{1}{3}m \qquad b=1m \qquad \\ \\ \textbf{Rechnung:} \\
c =\sqrt{a^{2} + b^{2} } \\
a=\frac{1}{3}m\\
b=1m\\
c =\sqrt{(\frac{1}{3}m)^{2} + (1m)^{2} }\\\\c=1,05m
\\\\\\ \small \begin{array}{|l|} \hline a=\\ \hline \frac{1}{3} m \\ \hline 3\frac{1}{3} dm \\ \hline 33\frac{1}{3} cm \\ \hline 333\frac{1}{3} mm \\ \hline 333333\frac{1}{3} \mu m \\ \hline \end{array} \small \begin{array}{|l|} \hline b=\\ \hline 1 m \\ \hline 10 dm \\ \hline 100 cm \\ \hline 10^{3} mm \\ \hline 10^{6} \mu m \\ \hline \end{array} \small \begin{array}{|l|} \hline c=\\ \hline 1,05 m \\ \hline 10,5 dm \\ \hline 105 cm \\ \hline 1,05\cdot 10^{3} mm \\ \hline 1,05\cdot 10^{6} \mu m \\ \hline \end{array}$