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: 03
$\begin{array}{l} \text{Gegeben:}\\\text{Höhe} \qquad h \qquad [m] \\ \text{Fläche} \qquad A \qquad [m^{2}] \\ \\ \text{Gesucht:} \\\text{Grundlinie} \qquad g \qquad [m] \\ \\ g = \frac{A\cdot 2}{ h}\\ \textbf{Gegeben:} \\ h=\frac{1}{2}m \qquad A=5m^{2} \qquad \\ \\ \textbf{Rechnung:} \\ g = \frac{A\cdot 2}{ h} \\ h=\frac{1}{2}m\\ A=5m^{2}\\ g = \frac{5m^{2}\cdot 2}{ \frac{1}{2}m}\\\\g=20m \\\\\\ \small \begin{array}{|l|} \hline h=\\ \hline \frac{1}{2} m \\ \hline 5 dm \\ \hline 50 cm \\ \hline 500 mm \\ \hline 5\cdot 10^{5} \mu m \\ \hline \end{array} \small \begin{array}{|l|} \hline A=\\ \hline 5 m^2 \\ \hline 500 dm^2 \\ \hline 5\cdot 10^{4} cm^2 \\ \hline 5\cdot 10^{6} mm^2 \\ \hline \frac{1}{20} a \\ \hline 0,0005 ha \\ \hline \end{array} \small \begin{array}{|l|} \hline g=\\ \hline 20 m \\ \hline 200 dm \\ \hline 2\cdot 10^{3} cm \\ \hline 2\cdot 10^{4} mm \\ \hline 2\cdot 10^{7} \mu m \\ \hline \end{array} \end{array}$