Geometrie-Dreieck-Allgemeines Dreieck

$A = \frac{g \cdot h}{2}$
1 2 3 4 5 6 7 8 9 10 11 12
$g = \frac{A\cdot 2}{ h}$
1 2 3 4 5 6 7 8 9 10 11 12 13
$h = \frac{A\cdot 2}{ g}$
1 2 3 4 5 6 7 8 9 10 11 12
$A =\frac{1}{2}\cdot a\cdot b\cdot sin(\gamma)$
1 2 3 4 5 6 7 8 9
$U = a+b+c$
1 2 3 4 5 6
Beispiel Nr: 04
$\begin{array}{l} \text{Gegeben:}\\\text{Höhe} \qquad h \qquad [m] \\ \text{Fläche} \qquad A \qquad [m^{2}] \\ \\ \text{Gesucht:} \\\text{Grundlinie} \qquad g \qquad [m] \\ \\ g = \frac{A\cdot 2}{ h}\\ \textbf{Gegeben:} \\ h=12m \qquad A=14m^{2} \qquad \\ \\ \textbf{Rechnung:} \\ g = \frac{A\cdot 2}{ h} \\ h=12m\\ A=14m^{2}\\ g = \frac{14m^{2}\cdot 2}{ 12m}\\\\g=2\frac{1}{3}m \\\\\\ \small \begin{array}{|l|} \hline h=\\ \hline 12 m \\ \hline 120 dm \\ \hline 1,2\cdot 10^{3} cm \\ \hline 1,2\cdot 10^{4} mm \\ \hline 1,2\cdot 10^{7} \mu m \\ \hline \end{array} \small \begin{array}{|l|} \hline A=\\ \hline 14 m^2 \\ \hline 1,4\cdot 10^{3} dm^2 \\ \hline 1,4\cdot 10^{5} cm^2 \\ \hline 1,4\cdot 10^{7} mm^2 \\ \hline \frac{7}{50} a \\ \hline 0,0014 ha \\ \hline \end{array} \small \begin{array}{|l|} \hline g=\\ \hline 2\frac{1}{3} m \\ \hline 23\frac{1}{3} dm \\ \hline 233\frac{1}{3} cm \\ \hline 2333\frac{1}{3} mm \\ \hline 2333333\frac{1}{3} \mu m \\ \hline \end{array} \end{array}$