## Task 3 - 200523

Fritz wants to draw four points $A, B, C, D$ in this order on a straight line. The following conditions must be met:

(1) The length of the segment $A D$ should be $15 \mathrm{~cm}$.

(2) The segment $B C$ should be $3 \mathrm{~cm}$ longer than the segment $A B$.

(3) The segment $C D$ should be twice as long as the segment $A C$.

Investigate whether these conditions can be met! If this is the case, determine all the length specifications for the segments $A B, B C$, and $C D$ that satisfy these conditions!