$
\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=\frac{1}{3}m \qquad A=\frac{3}{4}m^{2} \qquad \\ \\ \textbf{Rechnung:} \\
a = \frac{A \cdot 2}{ b} \\
b=\frac{1}{3}m\\
A=\frac{3}{4}m^{2}\\
a = \frac{\frac{3}{4}m^{2} \cdot 2}{ \frac{1}{3}m}\\\\a=4\frac{1}{2}m
\\\\\\ \small \begin{array}{|l|} \hline b=\\ \hline \frac{1}{3} m \\ \hline 3\frac{1}{3} dm \\ \hline 33\frac{1}{3} cm \\ \hline 333\frac{1}{3} mm \\ \hline 333333\frac{1}{3} \mu m \\ \hline \end{array} \small \begin{array}{|l|} \hline A=\\ \hline \frac{3}{4} m^2 \\ \hline 75 dm^2 \\ \hline 7,5\cdot 10^{3} cm^2 \\ \hline 7,5\cdot 10^{5} mm^2 \\ \hline 0,0075 a \\ \hline 7,5\cdot 10^{-5} ha \\ \hline \end{array} \small \begin{array}{|l|} \hline a=\\ \hline 4\frac{1}{2} m \\ \hline 45 dm \\ \hline 450 cm \\ \hline 4,5\cdot 10^{3} mm \\ \hline 4,5\cdot 10^{6} \mu m \\ \hline \end{array}$