Geometrie-Viereck-Quadrat

$A = a^{2}$
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
$a = \sqrt{A}$
1 2 3 4 5
$U = 4\cdot a$
1 2 3 4 5 6 7 8
$a = \frac{U}{4}$
1 2 3 4 5 6 7 8 9 10
$d = a\cdot \sqrt{2}$
1 2 3 4 5 6 7 8 9
$a = \frac{d}{\sqrt{2}}$
1 2 3 4 5 6 7
Beispiel Nr: 03
$\begin{array}{l} \text{Gegeben:}\\\text{Seite} \qquad a \qquad [m] \\ \\ \text{Gesucht:} \\\text{Diagonale} \qquad d \qquad [m] \\ \\ d = a\cdot \sqrt{2}\\ \textbf{Gegeben:} \\ a=6\frac{2}{5}m \qquad \\ \\ \textbf{Rechnung:} \\ d = a\cdot \sqrt{2} \\ a=6\frac{2}{5}m\\ d = 6\frac{2}{5}m\cdot \sqrt{2}\\\\d=9,05m \\\\\\ \small \begin{array}{|l|} \hline a=\\ \hline 6\frac{2}{5} m \\ \hline 64 dm \\ \hline 640 cm \\ \hline 6,4\cdot 10^{3} mm \\ \hline 6,4\cdot 10^{6} \mu m \\ \hline \end{array} \small \begin{array}{|l|} \hline d=\\ \hline 9,05 m \\ \hline 90,5 dm \\ \hline 905 cm \\ \hline 9,05\cdot 10^{3} mm \\ \hline 9,05\cdot 10^{6} \mu m \\ \hline \end{array} \end{array}$