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$ A = \frac{g \cdot h}{2} $
$ g = \frac{A\cdot 2}{ h} $
$ h = \frac{A\cdot 2}{ g} $
$ A =\frac{1}{2}\cdot a\cdot b\cdot sin(\gamma) $
$ U = a+b+c $
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: 05
$\begin{array}{l}
\text{Gegeben:}\\\text{Fläche} \qquad A \qquad [m^{2}] \\
\text{Grundlinie} \qquad g \qquad [m] \\
\\ \text{Gesucht:} \\\text{Höhe} \qquad h \qquad [m] \\
\\ h = \frac{A\cdot 2}{ g}\\ \textbf{Gegeben:} \\ A=\frac{1}{3}m^{2} \qquad g=\frac{3}{4}m \qquad \\ \\ \textbf{Rechnung:} \\
h = \frac{A\cdot 2}{ g} \\
A=\frac{1}{3}m^{2}\\
g=\frac{3}{4}m\\
h = \frac{\frac{1}{3}m^{2}\cdot 2}{ \frac{3}{4}m}\\\\h=\frac{8}{9}m
\\\\\\ \small \begin{array}{|l|} \hline A=\\ \hline \frac{1}{3} m^2 \\ \hline 33\frac{1}{3} dm^2 \\ \hline 3333\frac{1}{3} cm^2 \\ \hline 333333\frac{1}{3} mm^2 \\ \hline 0,00333 a \\ \hline 3,33\cdot 10^{-5} ha \\ \hline \end{array} \small \begin{array}{|l|} \hline g=\\ \hline \frac{3}{4} m \\ \hline 7\frac{1}{2} dm \\ \hline 75 cm \\ \hline 750 mm \\ \hline 7,5\cdot 10^{5} \mu m \\ \hline \end{array} \small \begin{array}{|l|} \hline h=\\ \hline \frac{8}{9} m \\ \hline 8\frac{8}{9} dm \\ \hline 88\frac{8}{9} cm \\ \hline 888\frac{8}{9} mm \\ \hline 888888\frac{8}{9} \mu m \\ \hline \end{array} \end{array}$