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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: 08
$\begin{array}{l}
\text{Gegeben:}\\\text{Fläche} \qquad A \qquad [m^{2}] \\
\text{Grundlinie} \qquad g \qquad [m] \\
\\ \text{Gesucht:} \\\text{Höhe} \qquad h \qquad [m] \\
\\ h = \frac{A\cdot 2}{ g}\\ \textbf{Gegeben:} \\ A=0,002m^{2} \qquad g=\frac{2}{5}m \qquad \\ \\ \textbf{Rechnung:} \\
h = \frac{A\cdot 2}{ g} \\
A=0,002m^{2}\\
g=\frac{2}{5}m\\
h = \frac{0,002m^{2}\cdot 2}{ \frac{2}{5}m}\\\\h=\frac{1}{100}m
\\\\\\ \small \begin{array}{|l|} \hline A=\\ \hline 0,002 m^2 \\ \hline \frac{1}{5} dm^2 \\ \hline 20 cm^2 \\ \hline 2\cdot 10^{3} mm^2 \\ \hline 2\cdot 10^{-5} a \\ \hline 2\cdot 10^{-7} ha \\ \hline \end{array} \small \begin{array}{|l|} \hline g=\\ \hline \frac{2}{5} m \\ \hline 4 dm \\ \hline 40 cm \\ \hline 400 mm \\ \hline 4\cdot 10^{5} \mu m \\ \hline \end{array} \small \begin{array}{|l|} \hline h=\\ \hline \frac{1}{100} m \\ \hline \frac{1}{10} dm \\ \hline 1 cm \\ \hline 10 mm \\ \hline 10^{4} \mu m \\ \hline \end{array} \end{array}$