$
\text{Gegeben:}\\\text{Hypotenusenabschnitt} \qquad p \qquad [m] \\
\text{Gegenkathete zu } \alpha \qquad a \qquad [m] \\
\\ \text{Gesucht:} \\\text{Hypotenuse} \qquad c \qquad [m] \\
\\ c = \frac{a^{2} }{p}\\ \textbf{Gegeben:} \\ p=7m \qquad a=3m \qquad \\ \\ \textbf{Rechnung:} \\
c = \frac{a^{2} }{p} \\
p=7m\\
a=3m\\
c = \frac{(3m)^{2} }{7m}\\\\c=1\frac{2}{7}m
\\\\\\ \small \begin{array}{|l|} \hline p=\\ \hline 7 m \\ \hline 70 dm \\ \hline 700 cm \\ \hline 7\cdot 10^{3} mm \\ \hline 7\cdot 10^{6} \mu m \\ \hline \end{array} \small \begin{array}{|l|} \hline a=\\ \hline 3 m \\ \hline 30 dm \\ \hline 300 cm \\ \hline 3\cdot 10^{3} mm \\ \hline 3\cdot 10^{6} \mu m \\ \hline \end{array} \small \begin{array}{|l|} \hline c=\\ \hline 1\frac{2}{7} m \\ \hline 12\frac{6}{7} dm \\ \hline 128\frac{4}{7} cm \\ \hline 1285\frac{5}{7} mm \\ \hline 1285714\frac{2}{7} \mu m \\ \hline \end{array}$