\ANG{
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In der (nicht ma"sstabsgerechten) Figur ist $DEFG$ ein Parallelogramm. 
Berechne $x=\overline{BC}$, $y=\overline{CG}$ und $z=\overline{BE}$ 
mit den  angegebenen Ma"sen 
($\overline{AB}=18,2{\rm\,cm}$, $\overline{AE}=21{\rm\,cm}$, $\overline{ED}=12{\rm\,cm}$,
$\overline{DG}=3,3{\rm\,cm}$, $\overline{GS}=9{\rm\,cm}$).

\beginpicture
\setcoordinatesystem units <1mm,1mm> point at  0  60
\setplotarea x from -20 to 120, y from 0 to 60
\plot     0        30          90        10        120   60    0  30 /
\plot   57.27   17.27      76.36    49.09     90  10     /
\plot 103        31.67      59.36    20.76 /
%\setplotsymbol ({\xpt\rm.})
\setplotsymbol({\fontsize{10}{1ex}\rm.})
\plot 76.36  49.09 57.27 17.27    90 10  103  31.67  /


\put {$A$}   at 0   26   \put {$B$}   at 57 13     \put {$C$}   at 90  6
\put {$D$}   at 123 60   \put {$E$}   at 75 53     \put {$F$}   at 58 23
\put {$G$}   at 105 30   \put {$21$}  at 37 42     \put {$12$}  at 99 58
\put {$3,3$} at 116 45   \put {$9$}   at 92 32     \put {$S$}   at 87 25
\put {$18,2$} at 28 20
%\put {$x$}    at 76 10 
%\put {$y$}    at 97 18
%\put {$z$}    at 64 18
\put{$\setminus\setminus$} at 95 54       \put{$\setminus\setminus$} at  79 26
\put{$\setminus$}          at 68 35       \put{$\setminus$}          at 110 43
\endpicture

}
\LSG{        
$x=10,4{\rm \,cm}$, $y=9,9{\rm \,cm}$, $z=8,4{\rm \,cm}$
}
