$
\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}=\frac{1}{3}m^{2} \qquad a=1m \qquad \\ \\ \textbf{Rechnung:} \\
b = \frac{A \cdot 2}{ a} \\
A=\frac{1}{3}m^{2}\\
a=1m\\
b = \frac{\frac{1}{3}m^{2} \cdot 2}{ 1m}\\\\b=\frac{2}{3}m
\\\\\\ \small \begin{array}{|l|} \hline A=\\ \hline \frac{1}{3} m^2 \\ \hline 33\frac{1}{3} dm^2 \\ \hline 3333\frac{1}{3} cm^2 \\ \hline 333333\frac{1}{3} mm^2 \\ \hline 0,00333 a \\ \hline 3,33\cdot 10^{-5} ha \\ \hline \end{array} \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 \end{array} \small \begin{array}{|l|} \hline b=\\ \hline \frac{2}{3} m \\ \hline 6\frac{2}{3} dm \\ \hline 66\frac{2}{3} cm \\ \hline 666\frac{2}{3} mm \\ \hline 666666\frac{2}{3} \mu m \\ \hline \end{array}$