Point C is the middle of segment AB, equal to 32 cm. Point D is marked on the ray CB, so CD = 34 cm

Point C is the middle of segment AB, equal to 32 cm. Point D is marked on the ray CB, so CD = 34 cm. Find the length of segment AD.

Since C is the middle of the segment AB, then AC = CB = AB / 2, then:
СВ = AB / 2 = 32/2 = 16 (cm).
The CD segment consists of two segments:
CD = CB + BD.
Substitute the known values and find the length of the segment BD:
34 = 16 + BD;
BD = 34-16;
BD = 18 cm.
Segment AD consists of two segments:
AD = AB + BD;
AD = 32 + 18;
AD = 50 cm.
Answer: AD = 50 cm.