Point C lies between points A and B. Find the length of the segment AB if the length of AC

Point C lies between points A and B. Find the length of the segment AB if the length of AC is 78.75 cm, and the segment BC is 3.5 times shorter than the segment AC.

From the condition of the problem, we know that the BC segment is 3.5 times shorter than the length of the AC segment, which is 78.75 cm. Therefore, first we find the length of the BC segment. To do this, you need to perform the following mathematical action:

78.75 ÷ 3.5 = 22.5 cm – the length of the BC segment.

Thus, now we can easily find the length of the segment AB. To do this, we need to add the length of these segments: AC and BC. Means,

78.75 + 22.5 = 101.25 cm.

Therefore, the length of the segment AB is 101.25 cm.