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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: 02
            
        
           $\begin{array}{l} 
      \text{Gegeben:}\\\text{Grundlinie c} \qquad c \qquad [m] \\
      \text{Höhe} \qquad h \qquad [m] \\
      \text{Fläche} \qquad A \qquad [m^{2}] \\
      \\ \text{Gesucht:} \\\text{Grundlinie a} \qquad a \qquad [m] \\
     \\ a = \frac{2\cdot A}{ h} - c\\ \textbf{Gegeben:} \\ c=4m \qquad h=5m \qquad A=20m^{2} \qquad \\ \\ \textbf{Rechnung:} \\
      a = \frac{2\cdot A}{ h} - c \\
      c=4m\\
      h=5m\\
      A=20m^{2}\\
      a = \frac{2\cdot 20m^{2}}{ 5m} - 4m\\\\a=4m
    \\\\\\ \small \begin{array}{|l|} \hline c=\\  \hline 4 m  \\  \hline 40 dm  \\  \hline 400 cm  \\  \hline 4\cdot 10^{3} mm  \\  \hline 4\cdot 10^{6} \mu m  \\ \hline \end{array} \small \begin{array}{|l|} \hline h=\\  \hline 5 m  \\  \hline 50 dm  \\  \hline 500 cm  \\  \hline 5\cdot 10^{3} mm  \\  \hline 5\cdot 10^{6} \mu m  \\ \hline \end{array} \small \begin{array}{|l|} \hline A=\\  \hline 20 m^2  \\  \hline 2\cdot 10^{3} dm^2  \\  \hline 2\cdot 10^{5} cm^2  \\  \hline 2\cdot 10^{7} mm^2  \\  \hline \frac{1}{5} a  \\  \hline 0,002 ha  \\ \hline \end{array} \small \begin{array}{|l|} \hline a=\\  \hline 4 m  \\  \hline 40 dm  \\  \hline 400 cm  \\  \hline 4\cdot 10^{3} mm  \\  \hline 4\cdot 10^{6} \mu m  \\ \hline \end{array}  \end{array}$