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$ A = \frac{g \cdot h}{2} $
$ g = \frac{A\cdot 2}{ h} $
$ h = \frac{A\cdot 2}{ g} $
$ A =\frac{1}{2}\cdot a\cdot b\cdot sin(\gamma) $
$ U = a+b+c $
Geometrie-Dreieck-Allgemeines Dreieck
$A = \frac{g \cdot h}{2}$
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$g = \frac{A\cdot 2}{ h}$
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$h = \frac{A\cdot 2}{ g}$
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$A =\frac{1}{2}\cdot a\cdot b\cdot sin(\gamma)$
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$U = a+b+c$
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Beispiel Nr: 07
$\begin{array}{l}
\text{Gegeben:}\\\text{Höhe} \qquad h \qquad [m] \\
\text{Fläche} \qquad A \qquad [m^{2}] \\
\\ \text{Gesucht:} \\\text{Grundlinie} \qquad g \qquad [m] \\
\\ g = \frac{A\cdot 2}{ h}\\ \textbf{Gegeben:} \\ h=1\frac{2}{3}m \qquad A=\frac{4}{5}m^{2} \qquad \\ \\ \textbf{Rechnung:} \\
g = \frac{A\cdot 2}{ h} \\
h=1\frac{2}{3}m\\
A=\frac{4}{5}m^{2}\\
g = \frac{\frac{4}{5}m^{2}\cdot 2}{ 1\frac{2}{3}m}\\\\g=\frac{24}{25}m
\\\\\\ \small \begin{array}{|l|} \hline h=\\ \hline 1\frac{2}{3} m \\ \hline 16\frac{2}{3} dm \\ \hline 166\frac{2}{3} cm \\ \hline 1666\frac{2}{3} mm \\ \hline 1666666\frac{2}{3} \mu m \\ \hline \end{array} \small \begin{array}{|l|} \hline A=\\ \hline \frac{4}{5} m^2 \\ \hline 80 dm^2 \\ \hline 8\cdot 10^{3} cm^2 \\ \hline 8\cdot 10^{5} mm^2 \\ \hline \frac{1}{125} a \\ \hline 8\cdot 10^{-5} ha \\ \hline \end{array} \small \begin{array}{|l|} \hline g=\\ \hline \frac{24}{25} m \\ \hline 9\frac{3}{5} dm \\ \hline 96 cm \\ \hline 960 mm \\ \hline 9,6\cdot 10^{5} \mu m \\ \hline \end{array} \end{array}$