\ANG{
%
%Sinussatz, Kosinussatz
%
\begin{minipage}[t]{9cm}
In nebenstehendem Dreieck $ABC$ ist $w_\alpha$ die Winkelhalbierende
des Winkels $\alpha$ und $s_a$ die Seitenhalbierende der Seite $\overline{BC}$.
\begin{enumerate}
\item  Zeige:~~ $|\overline{CT}|:|\overline{BT}|=\sin \beta:\sin \gamma$
\item  Es sei nun $\gamma=60^\circ,~\beta=45^\circ,~w_\alpha=8{,}0\,{\rm cm}$ gegeben.
  Berechne die L"ange von $s_a$.
\end{enumerate}
\end{minipage}
\hspace{5mm}
\raisebox{-5,5cm}{\begin{minipage}[t]{7cm}
\beginpicture
\setcoordinatesystem units <5mm,5mm>
\setplotarea x from 0 to 14, y from 0 to 11
\plot 1 1  13 1  4 10  1 1 /
\setdashesnear <5pt> for <42,6mm>
\plot 1 1  7.5 6.5 /
\setdashesnear <5pt> for <43,7mm>
\plot 1 1  8.5 5.5 /
\setsolid
\circulararc -63,43 degrees from 5 9 center at 4 10
\circulararc -45 degrees from 11 1 center at 13 1
\circulararc 71,57 degrees from 3 1 center at 1 1
\put {A} at 0.5 0.8
\put {B} at 13.5 0.8
\put {C} at 4.1 10.5
\put {T} at 8.1 6.8
\put {M} at 9.4 5.6
\put {$\alpha$} at 1.8 2.2
\put {$\beta$} at 11.7 1.5
\put {$\gamma$} at 4.2 9
\put {$w_\alpha$} at 4.2 4.8
\put {$s_a$} at 6 3.4
\endpicture
\end{minipage}}
}
\LSG{ $s_a\approx 8{,}1\,$cm }
