Beispiel Nr: 01
$ \text{Gegeben:}\\\text{Länge} \qquad a \qquad [m] \\ \text{Breite} \qquad b \qquad [m] \\ \text{Raumdiagonale} \qquad d \qquad [m] \\ \\ \text{Gesucht:} \\\text{Höhe} \qquad c \qquad [m] \\ \\ c = \sqrt{d^{2} -b^{2} -a^{2} }\\ \textbf{Gegeben:} \\ a=1m \qquad b=4m \qquad d=3m \qquad \\ \\ \textbf{Rechnung:} \\ c = \sqrt{d^{2} -b^{2} -a^{2} } \\ a=1m\\ b=4m\\ d=3m\\ c = \sqrt{(3m)^{2} -(4m)^{2} -(1m)^{2} }\\\\c=NaNm \\ \small \begin{array}{|l|} \hline a=\\ \hline 1 m \\ \hline 10 dm \\ \hline 100 cm \\ \hline 10^{3} mm \\ \hline 10^{6} \mu m \\ \hline 0,001 km \\ \hline \end{array}\\ \small \begin{array}{|l|} \hline b=\\ \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 d=\\ \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 NaN m \\ \hline NaN dm \\ \hline NaN cm \\ \hline NaN mm \\ \hline NaN \mu m \\ \hline NaN km \\ \hline \end{array}\\$