Geometrie-Viereck-Drachen



Beispiel Nr: 05
$ \text{Gegeben:}\\\text{Fläche} \qquad A \qquad [m^{2}] \\ \text{Diagonale e} \qquad e \qquad [m] \\ \\ \text{Gesucht:} \\\text{Diagonale f} \qquad f \qquad [m] \\ \\ f = \frac{2\cdot A}{ e}\\ \textbf{Gegeben:} \\ A=\frac{1}{3}m^{2} \qquad e=\frac{3}{4}m \qquad \\ \\ \textbf{Rechnung:} \\ f = \frac{2\cdot A}{ e} \\ A=\frac{1}{3}m^{2}\\ e=\frac{3}{4}m\\ f = \frac{2\cdot \frac{1}{3}m^{2}}{ \frac{3}{4}m}\\\\f=\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 e=\\ \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 f=\\ \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}$