$
\text{Gegeben:}\\\text{Kathete} \qquad b \qquad [m] \\
\text{Fläche des Dreiecks} \qquad A \qquad [m^{2}] \\
\\ \text{Gesucht:} \\\text{Gegenkathete zu} \alpha \qquad a \qquad [m] \\
\\ a = \frac{A \cdot 2}{ b}\\ \textbf{Gegeben:} \\ b=3m \qquad A=4m^{2} \qquad \\ \\ \textbf{Rechnung:} \\
a = \frac{A \cdot 2}{ b} \\
b=3m\\
A=4m^{2}\\
a = \frac{4m^{2} \cdot 2}{ 3m}\\\\a=2\frac{2}{3}m
\\\\\\ \small \begin{array}{|l|} \hline b=\\ \hline 3 m \\ \hline 30 dm \\ \hline 300 cm \\ \hline 3\cdot 10^{3} mm \\ \hline 3\cdot 10^{6} \mu m \\ \hline \end{array} \small \begin{array}{|l|} \hline A=\\ \hline 4 m^2 \\ \hline 400 dm^2 \\ \hline 4\cdot 10^{4} cm^2 \\ \hline 4\cdot 10^{6} mm^2 \\ \hline \frac{1}{25} a \\ \hline 0,0004 ha \\ \hline \end{array} \small \begin{array}{|l|} \hline a=\\ \hline 2\frac{2}{3} m \\ \hline 26\frac{2}{3} dm \\ \hline 266\frac{2}{3} cm \\ \hline 2666\frac{2}{3} mm \\ \hline 2666666\frac{2}{3} \mu m \\ \hline \end{array}$