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: 01
$\begin{array}{l} \text{Gegeben:}\\\text{Höhe} \qquad h \qquad [m] \\ \text{Fläche} \qquad A \qquad [m^{2}] \\ \\ \text{Gesucht:} \\\text{Grundlinie} \qquad g \qquad [m] \\ \\ g = \frac{A\cdot 2}{ h}\\ \textbf{Gegeben:} \\ h=3m \qquad A=4m^{2} \qquad \\ \\ \textbf{Rechnung:} \\ g = \frac{A\cdot 2}{ h} \\ h=3m\\ A=4m^{2}\\ g = \frac{4m^{2}\cdot 2}{ 3m}\\\\g=2\frac{2}{3}m \\\\\\ \small \begin{array}{|l|} \hline h=\\ \hline 3 m \\ \hline 30 dm \\ \hline 300 cm \\ \hline 3\cdot 10^{3} mm \\ \hline 3\cdot 10^{6} \mu m \\ \hline \end{array} \small \begin{array}{|l|} \hline A=\\ \hline 4 m^2 \\ \hline 400 dm^2 \\ \hline 4\cdot 10^{4} cm^2 \\ \hline 4\cdot 10^{6} mm^2 \\ \hline \frac{1}{25} a \\ \hline 0,0004 ha \\ \hline \end{array} \small \begin{array}{|l|} \hline g=\\ \hline 2\frac{2}{3} m \\ \hline 26\frac{2}{3} dm \\ \hline 266\frac{2}{3} cm \\ \hline 2666\frac{2}{3} mm \\ \hline 2666666\frac{2}{3} \mu m \\ \hline \end{array} \end{array}$