Point C is located on a straight line between points A and B, the length of the segment AC is 8 cm; the length of the segment CB

Point C is located on a straight line between points A and B, the length of the segment AC is 8 cm; the length of the segment CB is 3 cm longer than the length of the segment AC. Find the length of the segment AB.

In this task you need to determine the length of the segment ab. To solve the problem, you must use the following data:

The length of the segment ac is equal to – 8 cm.

The length of the segment cb is 3 cm longer than the length of the segment ac.

Point c is between a and b.

The task must be calculated as follows
First, you need to determine the length of the segment bc.
Next, you should determine the length of the segment ab.
Write down the calculations you need.
Determine the length of the segment ab
In order to solve this problem, it is first necessary to determine the length of the segment cb, for this it is necessary to increase the length of the segment ac by 3 cm, since, according to the condition, this segment is 3 cm longer.

8 cm + 3 cm = 11 cm.

Therefore, the length of the segment ab is 11 centimeters.

Next, you need to determine the length of the segment ab, for this you need to add the length of the segment ac and the length of the segment cb. Write down the solution.

8 cm + 11 cm = 19 cm.

It was found that the length of the segment ab is 19 centimeters.

Answer: when solving this problem, it was found that the length of the segment ab is 19 centimeters.



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