\ANG{
%
%Sinussatz, Kosinussatz
%
\begin{minipage}[t]{9cm}
In nebenstehender Figur sind bekannt:\\
$e=5{,}0\,{\rm cm}$;~$f=7{,}0\,{\rm cm}$;~$g=6{,}0\,{\rm cm}$;\\
$A_{EBC}=10{,}5\,{\rm cm}^2;~\delta=50^\circ;~\varphi=45^\circ$\\
sowie $\overline{AE}\|\overline{DC}$.
\begin{enumerate}
\item  Berechne den Winkel $\varepsilon$.\\
  (Ergebnis: $\varepsilon=30^\circ$)
\item  Berechne die Diagonalenl"ange $|\overline{AD}|$.
\end{enumerate}
\end{minipage}
\hspace{5mm}
\raisebox{-6,5cm}{\begin{minipage}[t]{7cm}
\beginpicture
\setcoordinatesystem units <5mm,5mm> 
\setplotarea x from 0 to 14, y from 0 to 14
\plot 1 3  11 2  12 6  12 12  1 7  1 3 /
\plot 1 7  12 6 /
\plot 1 7  11 2 /
\circulararc 63,43 degrees from 1 5.5 center at 1 7
\circulararc -21,38  degrees from 4 6.73 center at 1 7
\circulararc -65,56 degrees from 12 10.5 center at 12 12
\put {A} at 1 2.2
\put {B} at 11 1.2
\put {C} at 12.5 6
\put {D} at 12.5 12.5
\put {E} at 1 7.8
\put {e} at 0.5 4.8
\put {f} at 7.5 4.5
\put {g} at 7.5 7
\put {$\delta$} at 11.4 11.2
\put {$\varepsilon$} at 3.3 6.4
\put {$\varphi$} at 1.5 6
\endpicture
\end{minipage}}
}
\LSG{ (b):~$|\overline{AD}|\approx 11{,}5\,cm$ }