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: 02
$\begin{array}{l} \text{Gegeben:}\\\text{Fläche} \qquad A \qquad [m^{2}] \\ \text{Grundlinie} \qquad g \qquad [m] \\ \\ \text{Gesucht:} \\\text{Höhe} \qquad h \qquad [m] \\ \\ h = \frac{A\cdot 2}{ g}\\ \textbf{Gegeben:} \\ A=10m^{2} \qquad g=8m \qquad \\ \\ \textbf{Rechnung:} \\ h = \frac{A\cdot 2}{ g} \\ A=10m^{2}\\ g=8m\\ h = \frac{10m^{2}\cdot 2}{ 8m}\\\\h=2\frac{1}{2}m \\\\\\ \small \begin{array}{|l|} \hline A=\\ \hline 10 m^2 \\ \hline 10^{3} dm^2 \\ \hline 10^{5} cm^2 \\ \hline 10^{7} mm^2 \\ \hline \frac{1}{10} a \\ \hline 0,001 ha \\ \hline \end{array} \small \begin{array}{|l|} \hline g=\\ \hline 8 m \\ \hline 80 dm \\ \hline 800 cm \\ \hline 8\cdot 10^{3} mm \\ \hline 8\cdot 10^{6} \mu m \\ \hline \end{array} \small \begin{array}{|l|} \hline h=\\ \hline 2\frac{1}{2} m \\ \hline 25 dm \\ \hline 250 cm \\ \hline 2,5\cdot 10^{3} mm \\ \hline 2,5\cdot 10^{6} \mu m \\ \hline \end{array} \end{array}$