-
<<
>>
G
B
I
$ A = \frac{g \cdot h}{2} $
$ g = \frac{A\cdot 2}{ h} $
$ h = \frac{A\cdot 2}{ g} $
$ A =\frac{1}{2}\cdot a\cdot b\cdot sin(\gamma) $
$ U = a+b+c $
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: 11
$\begin{array}{l}
\text{Gegeben:}\\\text{Höhe} \qquad h \qquad [m] \\
\text{Fläche} \qquad A \qquad [m^{2}] \\
\\ \text{Gesucht:} \\\text{Grundlinie} \qquad g \qquad [m] \\
\\ g = \frac{A\cdot 2}{ h}\\ \textbf{Gegeben:} \\ h=1\frac{1}{5}m \qquad A=1\frac{1}{2}m^{2} \qquad \\ \\ \textbf{Rechnung:} \\
g = \frac{A\cdot 2}{ h} \\
h=1\frac{1}{5}m\\
A=1\frac{1}{2}m^{2}\\
g = \frac{1\frac{1}{2}m^{2}\cdot 2}{ 1\frac{1}{5}m}\\\\g=2\frac{1}{2}m
\\\\\\ \small \begin{array}{|l|} \hline h=\\ \hline 1\frac{1}{5} m \\ \hline 12 dm \\ \hline 120 cm \\ \hline 1,2\cdot 10^{3} mm \\ \hline 1,2\cdot 10^{6} \mu m \\ \hline \end{array} \small \begin{array}{|l|} \hline A=\\ \hline 1\frac{1}{2} m^2 \\ \hline 150 dm^2 \\ \hline 1,5\cdot 10^{4} cm^2 \\ \hline 1,5\cdot 10^{6} mm^2 \\ \hline 0,015 a \\ \hline 0,00015 ha \\ \hline \end{array} \small \begin{array}{|l|} \hline g=\\ \hline 2\frac{1}{2} m \\ \hline 25 dm \\ \hline 250 cm \\ \hline 2,5\cdot 10^{3} mm \\ \hline 2,5\cdot 10^{6} \mu m \\ \hline \end{array} \end{array}$