# Construct ray CD and draw segment AB on it. The length of the segment AB is 3 cm 3 mm

Construct ray CD and draw segment AB on it. The length of the segment AB is 3 cm 3 mm and the length of the segment CB is 8 cm 5 mm. What is the length of the segment CA?

Let’s outline a solution plan. (Construct yourself).

Construct a beam CD starting at point C.
Build on the ray from point C a segment CB = 8 cm 5 mm.
Mark on the beam point A, which is at a distance of 3 cm 3 mm from point B, since AB = 3 cm 3 mm.
There are two options for the location of point A: either it is between points C and B, or between point B and point D. This means that the length of the segment CA will be different.
CA = CB – AB = 8 cm 5 mm – 3 cm 3 mm = 5 cm 2 mm.
CA = CB + AB = 8 cm 5 mm + 3 cm 3 mm = 11 cm 8 mm.
Answer: CA = 5 cm 2 mm; CA = 11 cm 8 mm.

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