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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
$\begin{array}{l}
\text{Gegeben:}\\\text{Winkel gamma} \qquad \gamma \qquad [^{\circ}] \\
\text{Länge der Seite} \qquad b \qquad [m] \\
\text{Länge der Seite} \qquad a \qquad [m] \\
\\ \text{Gesucht:} \\\text{Fläche} \qquad A \qquad [m^{2}] \\
\\ A =\frac{1}{2}\cdot a\cdot b\cdot sin(\gamma)\\ \textbf{Gegeben:} \\ \gamma=150^{\circ} \qquad b=\frac{1}{3}m \qquad a=1m \qquad \\ \\ \textbf{Rechnung:} \\
A =\frac{1}{2}\cdot a\cdot b\cdot sin(\gamma) \\
\gamma=150^{\circ}\\
b=\frac{1}{3}m\\
a=1m\\
A =\frac{1}{2}\cdot 1m\cdot \frac{1}{3}m\cdot sin(150^{\circ} )\\\\ A=\frac{1}{12}m^{2}
\\\\\\ \small \begin{array}{|l|} \hline b=\\ \hline \frac{1}{3} m \\ \hline 3\frac{1}{3} dm \\ \hline 33\frac{1}{3} cm \\ \hline 333\frac{1}{3} mm \\ \hline 333333\frac{1}{3} \mu m \\ \hline \end{array} \small \begin{array}{|l|} \hline a=\\ \hline 1 m \\ \hline 10 dm \\ \hline 100 cm \\ \hline 10^{3} mm \\ \hline 10^{6} \mu m \\ \hline \end{array} \small \begin{array}{|l|} \hline gamma=\\ \hline 150 ° \\ \hline 9\cdot 10^{3} \text{'} \\ \hline 5,4\cdot 10^{5} \text{''} \\ \hline 166\frac{2}{3} gon \\ \hline 2,62 rad \\ \hline \end{array} \small \begin{array}{|l|} \hline A=\\ \hline \frac{1}{12} m^2 \\ \hline 8\frac{1}{3} dm^2 \\ \hline 833\frac{1}{3} cm^2 \\ \hline 83333\frac{1}{3} mm^2 \\ \hline 0,000833 a \\ \hline 8,33\cdot 10^{-6} ha \\ \hline \end{array} \end{array}$