# Points M and K divide the segment AB into three parts: AM, MK, and KB. Find the length of the AB

**Points M and K divide the segment AB into three parts: AM, MK, and KB. Find the length of the AB segment, if AM = 3 cm 5 mm, the MK segment is 13 mm longer than the AM segment, and the AK segment is 8 mm shorter than the KB segment**

The solution of the problem:

1. Define what is the length of the segment MK.

1 centimeter equals 10 millimeters.

3 cm. 5 mm + 13 mm. = 35 mm. + 13 mm. = 48 millimeters.

2. Let us calculate what the length of the segment AK is equal to.

35 + 48 = 83 millimeters.

3. What is the length of the KB segment?

83 + 8 = 91 millimeters.

Let’s answer the question of the problem.

4. Find the length of the segment AB.

35 + 48 + 91 = 174 millimeters = 17 centimeters 4 millimeters.

Answer: The length of the segment AB is seventeen centimeters four millimeters.