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• Geometrie - Dreieck - Pythagoras - Höhensatz - Kathetensatz - Beispiele

Beispiel Nr: 12
$\text{Gegeben:}\\ \text{Kathete} \qquad a \qquad [m] \\ \text{Kathete} \qquad b \qquad [m] \\ \\ \text{Gesucht:} \\\text{Hypotenuse} \qquad c \qquad [m] \\ \\ c =\sqrt{a^{2} + b^{2} }\\ \textbf{Gegeben:} \\ a=1\frac{1}{2}m \qquad b=\frac{1}{5}m \qquad \\ \\ \textbf{Rechnung:} \\ c =\sqrt{a^{2} + b^{2} } \\ a=1\frac{1}{2}m\\ b=\frac{1}{5}m\\ c =\sqrt{(1\frac{1}{2}m)^{2} + (\frac{1}{5}m)^{2} }\\\\c=1,51m \\\\\\ \tiny \begin{array}{|l|} \hline a=\\ \hline 1,5 m \\ \hline 15 dm \\ \hline 150 cm \\ \hline 1,5\cdot 10^{3} mm \\ \hline 1,5\cdot 10^{6} \mu m \\ \hline 0,0015 km \\ \hline \end{array} \tiny \begin{array}{|l|} \hline b=\\ \hline 0,2 m \\ \hline 2 dm \\ \hline 20 cm \\ \hline 200 mm \\ \hline 2\cdot 10^{5} \mu m \\ \hline 0,0002 km \\ \hline \end{array} \tiny \begin{array}{|l|} \hline c=\\ \hline 1,51 m \\ \hline 15,1 dm \\ \hline 151 cm \\ \hline 1,51\cdot 10^{3} mm \\ \hline 1,51\cdot 10^{6} \mu m \\ \hline 0,00151 km \\ \hline \end{array}$