-
<<
>>
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: 04
$\begin{array}{l}
\text{Gegeben:}\\\text{Fläche} \qquad A \qquad [m^{2}] \\
\text{Grundlinie} \qquad g \qquad [m] \\
\\ \text{Gesucht:} \\\text{Höhe} \qquad h \qquad [m] \\
\\ h = \frac{A\cdot 2}{ g}\\ \textbf{Gegeben:} \\ A=12m^{2} \qquad g=14m \qquad \\ \\ \textbf{Rechnung:} \\
h = \frac{A\cdot 2}{ g} \\
A=12m^{2}\\
g=14m\\
h = \frac{12m^{2}\cdot 2}{ 14m}\\\\h=1\frac{5}{7}m
\\\\\\ \small \begin{array}{|l|} \hline A=\\ \hline 12 m^2 \\ \hline 1,2\cdot 10^{3} dm^2 \\ \hline 1,2\cdot 10^{5} cm^2 \\ \hline 1,2\cdot 10^{7} mm^2 \\ \hline \frac{3}{25} a \\ \hline 0,0012 ha \\ \hline \end{array} \small \begin{array}{|l|} \hline g=\\ \hline 14 m \\ \hline 140 dm \\ \hline 1,4\cdot 10^{3} cm \\ \hline 1,4\cdot 10^{4} mm \\ \hline 1,4\cdot 10^{7} \mu m \\ \hline \end{array} \small \begin{array}{|l|} \hline h=\\ \hline 1\frac{5}{7} m \\ \hline 17\frac{1}{7} dm \\ \hline 171\frac{3}{7} cm \\ \hline 1714\frac{2}{7} mm \\ \hline 1714285\frac{5}{7} \mu m \\ \hline \end{array} \end{array}$