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
$\begin{array}{l} \text{Gegeben:}\\\text{Winkel gamma} \qquad \gamma \qquad [^{\circ}] \\ \text{Länge der Seite} \qquad b \qquad [m] \\ \text{Länge der Seite} \qquad a \qquad [m] \\ \\ \text{Gesucht:} \\\text{Fläche} \qquad A \qquad [m^{2}] \\ \\ A =\frac{1}{2}\cdot a\cdot b\cdot sin(\gamma)\\ \textbf{Gegeben:} \\ \gamma=80^{\circ} \qquad b=1\frac{1}{2}m \qquad a=\frac{1}{5}m \qquad \\ \\ \textbf{Rechnung:} \\ A =\frac{1}{2}\cdot a\cdot b\cdot sin(\gamma) \\ \gamma=80^{\circ}\\ b=1\frac{1}{2}m\\ a=\frac{1}{5}m\\ A =\frac{1}{2}\cdot \frac{1}{5}m\cdot 1\frac{1}{2}m\cdot sin(80^{\circ} )\\\\ A=0,148m^{2} \\\\\\ \small \begin{array}{|l|} \hline b=\\ \hline 1\frac{1}{2} m \\ \hline 15 dm \\ \hline 150 cm \\ \hline 1,5\cdot 10^{3} mm \\ \hline 1,5\cdot 10^{6} \mu m \\ \hline \end{array} \small \begin{array}{|l|} \hline a=\\ \hline \frac{1}{5} m \\ \hline 2 dm \\ \hline 20 cm \\ \hline 200 mm \\ \hline 2\cdot 10^{5} \mu m \\ \hline \end{array} \small \begin{array}{|l|} \hline gamma=\\ \hline 80 ° \\ \hline 4,8\cdot 10^{3} \text{'} \\ \hline 2,88\cdot 10^{5} \text{''} \\ \hline 88\frac{8}{9} gon \\ \hline 1,4 rad \\ \hline \end{array} \small \begin{array}{|l|} \hline A=\\ \hline 0,148 m^2 \\ \hline 14,8 dm^2 \\ \hline 1,48\cdot 10^{3} cm^2 \\ \hline 1,48\cdot 10^{5} mm^2 \\ \hline 0,00148 a \\ \hline 1,48\cdot 10^{-5} ha \\ \hline \end{array} \end{array}$