Geometrie-Dreieck-Allgemeines Dreieck



Beispiel Nr: 07
$ \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=1\frac{2}{3}m \qquad A=\frac{4}{5}m^{2} \qquad \\ \\ \textbf{Rechnung:} \\ g = \frac{A\cdot 2}{ h} \\ h=1\frac{2}{3}m\\ A=\frac{4}{5}m^{2}\\ g = \frac{\frac{4}{5}m^{2}\cdot 2}{ 1\frac{2}{3}m}\\\\g=\frac{24}{25}m \\\\\\ \small \begin{array}{|l|} \hline h=\\ \hline 1\frac{2}{3} m \\ \hline 16\frac{2}{3} dm \\ \hline 166\frac{2}{3} cm \\ \hline 1666\frac{2}{3} mm \\ \hline 1666666\frac{2}{3} \mu m \\ \hline \end{array} \small \begin{array}{|l|} \hline A=\\ \hline \frac{4}{5} m^2 \\ \hline 80 dm^2 \\ \hline 8\cdot 10^{3} cm^2 \\ \hline 8\cdot 10^{5} mm^2 \\ \hline \frac{1}{125} a \\ \hline 8\cdot 10^{-5} ha \\ \hline \end{array} \small \begin{array}{|l|} \hline g=\\ \hline \frac{24}{25} m \\ \hline 9\frac{3}{5} dm \\ \hline 96 cm \\ \hline 960 mm \\ \hline 9,6\cdot 10^{5} \mu m \\ \hline \end{array}$