Geometrie-Viereck-Parallelogramm
$A = g\cdot h$
$g = \frac{A}{h}$
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$h = \frac{A}{g}$
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Beispiel Nr: 10
$\begin{array}{l}
\text{Gegeben:}\\\text{Fläche} \qquad A \qquad [m^{2}] \\
\text{Grundlinie} \qquad g \qquad [m] \\
\\ \text{Gesucht:} \\\text{Höhe} \qquad h \qquad [m] \\
\\ h = \frac{A}{g}\\ \textbf{Gegeben:} \\ A=1\frac{1}{2}m^{2} \qquad g=\frac{1}{5}m \qquad \\ \\ \textbf{Rechnung:} \\
h = \frac{A}{g} \\
A=1\frac{1}{2}m^{2}\\
g=\frac{1}{5}m\\
h = \frac{1\frac{1}{2}m^{2}}{\frac{1}{5}m}\\\\h=7\frac{1}{2}m
\\\\\\ \small \begin{array}{|l|} \hline A=\\ \hline 1\frac{1}{2} m^2 \\ \hline 150 dm^2 \\ \hline 1,5\cdot 10^{4} cm^2 \\ \hline 1,5\cdot 10^{6} mm^2 \\ \hline 0,015 a \\ \hline 0,00015 ha \\ \hline \end{array} \small \begin{array}{|l|} \hline g=\\ \hline \frac{1}{5} m \\ \hline 2 dm \\ \hline 20 cm \\ \hline 200 mm \\ \hline 2\cdot 10^{5} \mu m \\ \hline \end{array} \small \begin{array}{|l|} \hline h=\\ \hline 7\frac{1}{2} m \\ \hline 75 dm \\ \hline 750 cm \\ \hline 7,5\cdot 10^{3} mm \\ \hline 7,5\cdot 10^{6} \mu m \\ \hline \end{array} \end{array}$