Point C was marked on segment AB. The distance between the midpoints of segments AC

Point C was marked on segment AB. The distance between the midpoints of segments AC and BC is 12 cm. What is the length of segment AB?

To solve this problem, we introduce a conditional variable “X”, through which we denote the length of the entire segment AB. Since we know the distance between the midpoints of the AC and BC segments, the entire AB segment will be equal to twice the value of this distance. Then, based on the data of the problem, we will compose the following equation: X / 2 = 12. Solving this equation, we obtain X equal to 24 centimeters. Answer: the length of the segment AB is 24 centimeters.