The length of the segment AB is 28 cm. Points M and K belong to this segment, and point K

The length of the segment AB is 28 cm. Points M and K belong to this segment, and point K lies between points M and B, AM = 12 cm, BK = 9 cm. Find the length of the segment MK.

By the condition of the problem, we know that the points M and K belong to the segment AB, and the point K lies between the points M and B. So the segment AB is divided by the segments AM, MK and ВK.

AB = AM + MK + ВK;

MK = AB – (AM + BK).

We also know that AB = 28 cm, AM = 12 cm, and ВK = 9 cm.Substituting these values into the equation, we get:

MK = 28 – (12 + 9) = 28 – 21 = 7 cm.

Let’s check:

MВ = AB – AM = 28 – 12 = 16 cm.

AB = AM + MB = 12 + 16 = 28 cm.

The task condition is met.

Answer: the length of the MK segment is 7 centimeters.