Points A and B were marked on the KM segment so that the length of the spacecraft segment is 4 cm;

Points A and B were marked on the KM segment so that the length of the spacecraft segment is 4 cm; the length of the segment AB is 1cm less than the length of the spacecraft segment and the length of the segment BM is equal to the sum of the lengths of the segments KA and AB find the length of the segment KM

Points A and B belong to the CM segment.

By the condition of the problem:

KA = 4,

AB = KA – 1 = 4 – 1 = 3,

BM = KA + AB = 4 + 3 = 7.

The KM segment consists of non-intersecting segments KA, AB and BM.

Then we get that the length of the CM is the sum of the lengths of its segments, i.e.:

KM = KA + AB + BM = 4 + 3 + 7 = 14.

Answer: KM length = 14.