-
<<
>>
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: 10
$\begin{array}{l}
\text{Gegeben:}\\\text{Grundlinie} \qquad g \qquad [m] \\
\text{Höhe} \qquad h \qquad [m] \\
\\ \text{Gesucht:} \\\text{Fläche} \qquad A \qquad [m^{2}] \\
\\ A = \frac{g \cdot h}{2}\\ \textbf{Gegeben:} \\ g=1\frac{1}{2}m \qquad h=\frac{1}{5}m \qquad \\ \\ \textbf{Rechnung:} \\
A = \frac{g \cdot h}{2} \\
g=1\frac{1}{2}m\\
h=\frac{1}{5}m\\
A = \frac{1\frac{1}{2}m \cdot \frac{1}{5}m}{2}\\\\A=\frac{3}{20}m^{2}
\\\\\\ \small \begin{array}{|l|} \hline g=\\ \hline 1\frac{1}{2} m \\ \hline 15 dm \\ \hline 150 cm \\ \hline 1,5\cdot 10^{3} mm \\ \hline 1,5\cdot 10^{6} \mu m \\ \hline \end{array} \small \begin{array}{|l|} \hline h=\\ \hline \frac{1}{5} m \\ \hline 2 dm \\ \hline 20 cm \\ \hline 200 mm \\ \hline 2\cdot 10^{5} \mu m \\ \hline \end{array} \small \begin{array}{|l|} \hline A=\\ \hline \frac{3}{20} m^2 \\ \hline 15 dm^2 \\ \hline 1,5\cdot 10^{3} cm^2 \\ \hline 1,5\cdot 10^{5} mm^2 \\ \hline 0,0015 a \\ \hline 1,5\cdot 10^{-5} ha \\ \hline \end{array} \end{array}$