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
$\begin{array}{l} \text{Gegeben:}\\\text{Fläche} \qquad A \qquad [m^{2}] \\ \text{Grundlinie} \qquad g \qquad [m] \\ \\ \text{Gesucht:} \\\text{Höhe} \qquad h \qquad [m] \\ \\ h = \frac{A\cdot 2}{ g}\\ \textbf{Gegeben:} \\ A=1\frac{2}{3}m^{2} \qquad g=\frac{4}{5}m \qquad \\ \\ \textbf{Rechnung:} \\ h = \frac{A\cdot 2}{ g} \\ A=1\frac{2}{3}m^{2}\\ g=\frac{4}{5}m\\ h = \frac{1\frac{2}{3}m^{2}\cdot 2}{ \frac{4}{5}m}\\\\h=4\frac{1}{6}m \\\\\\ \small \begin{array}{|l|} \hline A=\\ \hline 1\frac{2}{3} m^2 \\ \hline 166\frac{2}{3} dm^2 \\ \hline 16666\frac{2}{3} cm^2 \\ \hline 1666666\frac{2}{3} mm^2 \\ \hline \frac{1}{60} a \\ \hline 0,000167 ha \\ \hline \end{array} \small \begin{array}{|l|} \hline g=\\ \hline \frac{4}{5} m \\ \hline 8 dm \\ \hline 80 cm \\ \hline 800 mm \\ \hline 8\cdot 10^{5} \mu m \\ \hline \end{array} \small \begin{array}{|l|} \hline h=\\ \hline 4\frac{1}{6} m \\ \hline 41\frac{2}{3} dm \\ \hline 416\frac{2}{3} cm \\ \hline 4166\frac{2}{3} mm \\ \hline 4166666\frac{2}{3} \mu m \\ \hline \end{array} \end{array}$