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$ A = \frac{a+c}{ 2}\cdot h $
$ a = \frac{2\cdot A}{ h} - c $
$ c = \frac{2\cdot A}{ h} - a $
$ h = \frac{2\cdot A}{a+c} $
Geometrie-Viereck-Allgemeines Trapez
$A = \frac{a+c}{ 2}\cdot h$
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$a = \frac{2\cdot A}{ h} - c$
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$c = \frac{2\cdot A}{ h} - a$
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$h = \frac{2\cdot A}{a+c}$
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Beispiel Nr: 10
$\begin{array}{l}
\text{Gegeben:}\\\text{Grundlinie c} \qquad c \qquad [m] \\
\text{Grundlinie a} \qquad a \qquad [m] \\
\text{Höhe} \qquad h \qquad [m] \\
\\ \text{Gesucht:} \\\text{Fläche} \qquad A \qquad [m^{2}] \\
\\ A = \frac{a+c}{ 2}\cdot h\\ \textbf{Gegeben:} \\ c=2m \qquad a=3m \qquad h=3m \qquad \\ \\ \textbf{Rechnung:} \\
A = \frac{a+c}{ 2}\cdot h \\
c=2m\\
a=3m\\
h=3m\\
A = \frac{3m+2m}{ 2}\cdot 3m\\\\A=7\frac{1}{2}m^{2}
\\\\\\ \small \begin{array}{|l|} \hline c=\\ \hline 2 m \\ \hline 20 dm \\ \hline 200 cm \\ \hline 2\cdot 10^{3} mm \\ \hline 2\cdot 10^{6} \mu m \\ \hline \end{array} \small \begin{array}{|l|} \hline a=\\ \hline 3 m \\ \hline 30 dm \\ \hline 300 cm \\ \hline 3\cdot 10^{3} mm \\ \hline 3\cdot 10^{6} \mu m \\ \hline \end{array} \small \begin{array}{|l|} \hline h=\\ \hline 3 m \\ \hline 30 dm \\ \hline 300 cm \\ \hline 3\cdot 10^{3} mm \\ \hline 3\cdot 10^{6} \mu m \\ \hline \end{array} \small \begin{array}{|l|} \hline A=\\ \hline 7\frac{1}{2} m^2 \\ \hline 750 dm^2 \\ \hline 7,5\cdot 10^{4} cm^2 \\ \hline 7,5\cdot 10^{6} mm^2 \\ \hline \frac{3}{40} a \\ \hline 0,00075 ha \\ \hline \end{array} \end{array}$