Beispiel Nr: 03
$ \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=3m \qquad c=4m \qquad \\ \\ \textbf{Rechnung:} \\ p = \frac{a^{2} }{c} \\ a=3m\\ c=4m\\ p = \frac{(3m)^{2} }{4m}\\\\p=2\frac{1}{4}m \\ \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 0,003 km \\ \hline \end{array}\\ \small \begin{array}{|l|} \hline c=\\ \hline 4 m \\ \hline 40 dm \\ \hline 400 cm \\ \hline 4\cdot 10^{3} mm \\ \hline 4\cdot 10^{6} \mu m \\ \hline 0,004 km \\ \hline \end{array}\\ \small \begin{array}{|l|} \hline p=\\ \hline 2,25 m \\ \hline 22,5 dm \\ \hline 225 cm \\ \hline 2,25\cdot 10^{3} mm \\ \hline 2,25\cdot 10^{6} \mu m \\ \hline 0,00225 km \\ \hline \end{array}\\$