Beispiel Nr: 01
$ \text{Gegeben:}\\\text{Gegenkathete zu }\alpha \qquad a \qquad [m] \\ \text{Hypotenuse} \qquad c \qquad [m] \\ \\ \text{Gesucht:} \\\text{Hypotenusenabschnitt} \qquad p \qquad [m] \\ \\ p = \frac{a^{2} }{c}\\ \textbf{Gegeben:} \\ a=5m \qquad c=6m \qquad \\ \\ \textbf{Rechnung:} \\ p = \frac{a^{2} }{c} \\ a=5m\\ c=6m\\ p = \frac{(5m)^{2} }{6m}\\\\p=4\frac{1}{6}m \\ \small \begin{array}{|l|} \hline a=\\ \hline 5 m \\ \hline 50 dm \\ \hline 500 cm \\ \hline 5\cdot 10^{3} mm \\ \hline 5\cdot 10^{6} \mu m \\ \hline 0,005 km \\ \hline \end{array}\\ \small \begin{array}{|l|} \hline c=\\ \hline 6 m \\ \hline 60 dm \\ \hline 600 cm \\ \hline 6\cdot 10^{3} mm \\ \hline 6\cdot 10^{6} \mu m \\ \hline 0,006 km \\ \hline \end{array}\\ \small \begin{array}{|l|} \hline p=\\ \hline 4,17 m \\ \hline 41,7 dm \\ \hline 417 cm \\ \hline 4,17\cdot 10^{3} mm \\ \hline 4,17\cdot 10^{6} \mu m \\ \hline 0,00417 km \\ \hline \end{array}\\$