Beispiel Nr: 05
$ \text{Gegeben:}\\\text{Hypotenuse} \qquad c \qquad [m] \\ \text{Kathete} \qquad a \qquad \qquad [m] \\ \\ \text{Gesucht:} \\ \text{Kathete} \qquad b \qquad [m] \\ \\ b =\sqrt{c^{2} - a^{2} }\\ \textbf{Gegeben:} \\ c=\frac{1}{2}m \qquad a=\frac{2}{5}m \qquad \\ \\ \textbf{Rechnung:} \\ b =\sqrt{c^{2} - a^{2} } \\ c=\frac{1}{2}m\\ a=\frac{2}{5}m\\ b =\sqrt{(\frac{1}{2}m)^{2} - (\frac{2}{5}m)^{2} }\\\\b=\frac{3}{10}m \\\\\\ \tiny \begin{array}{|l|} \hline c=\\ \hline 0,5 m \\ \hline 5 dm \\ \hline 50 cm \\ \hline 500 mm \\ \hline 5\cdot 10^{5} \mu m \\ \hline 0,0005 km \\ \hline \end{array} \tiny \begin{array}{|l|} \hline a=\\ \hline 0,4 m \\ \hline 4 dm \\ \hline 40 cm \\ \hline 400 mm \\ \hline 4\cdot 10^{5} \mu m \\ \hline 0,0004 km \\ \hline \end{array} \tiny \begin{array}{|l|} \hline b=\\ \hline 0,3 m \\ \hline 3 dm \\ \hline 30 cm \\ \hline 300 mm \\ \hline 3\cdot 10^{5} \mu m \\ \hline 0,0003 km \\ \hline \end{array}$