Beispiel Nr: 07
$ \text{Gegeben:}\\\text{Fläche des Dreiecks} \qquad A \qquad [m^{2}] \\ \text{Kathete} \qquad a \qquad [m] \\ \\ \text{Gesucht:} \\\text{Ankathete zu } \alpha \qquad b \qquad [m] \\ \\ b = \frac{A \cdot 2}{ a}\\ \textbf{Gegeben:} \\ A_{d}=1\frac{2}{3}m^{2} \qquad a=\frac{4}{5}m \qquad \\ \\ \textbf{Rechnung:} \\ b = \frac{A \cdot 2}{ a} \\ A=1\frac{2}{3}m^{2}\\ a=\frac{4}{5}m\\ b = \frac{1\frac{2}{3}m^{2} \cdot 2}{ \frac{4}{5}m}\\\\b=4\frac{1}{6}m \\\\\\ \tiny \begin{array}{|l|} \hline A=\\ \hline 1,67 m^2 \\ \hline 167 dm^2 \\ \hline 1,67\cdot 10^{4} cm^2 \\ \hline 1,67\cdot 10^{6} mm^2 \\ \hline 0,0167 a \\ \hline 0,000167 ha \\ \hline 1,67\cdot 10^{-6} km^2 \\ \hline \end{array} \tiny \begin{array}{|l|} \hline a=\\ \hline 0,8 m \\ \hline 8 dm \\ \hline 80 cm \\ \hline 800 mm \\ \hline 8\cdot 10^{5} \mu m \\ \hline 0,0008 km \\ \hline \end{array} \tiny \begin{array}{|l|} \hline b=\\ \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}$