Beispiel Nr: 07
$ \text{Gegeben:}\\ \text{Kathete} \qquad a \qquad [m] \\ \text{Kathete} \qquad b \qquad [m] \\ \\ \text{Gesucht:} \\\text{Hypotenuse} \qquad c \qquad [m] \\ \\ c =\sqrt{a^{2} + b^{2} }\\ \textbf{Gegeben:} \\ a=\frac{1}{3}m \qquad b=\frac{3}{4}m \qquad \\ \\ \textbf{Rechnung:} \\ c =\sqrt{a^{2} + b^{2} } \\ a=\frac{1}{3}m\\ b=\frac{3}{4}m\\ c =\sqrt{(\frac{1}{3}m)^{2} + (\frac{3}{4}m)^{2} }\\\\c=0,821m \\ \small \begin{array}{|l|} \hline a=\\ \hline 0,333 m \\ \hline 3,33 dm \\ \hline 33,3 cm \\ \hline 333 mm \\ \hline 3,33\cdot 10^{5} \mu m \\ \hline 0,000333 km \\ \hline \end{array}\\ \small \begin{array}{|l|} \hline b=\\ \hline 0,75 m \\ \hline 7,5 dm \\ \hline 75 cm \\ \hline 750 mm \\ \hline 7,5\cdot 10^{5} \mu m \\ \hline 0,00075 km \\ \hline \end{array}\\ \small \begin{array}{|l|} \hline c=\\ \hline 0,821 m \\ \hline 8,21 dm \\ \hline 82,1 cm \\ \hline 821 mm \\ \hline 8,21\cdot 10^{5} \mu m \\ \hline 0,000821 km \\ \hline \end{array}\\$