Point C splits segment AB into parts AC and CB find the length of segment AB if the length of AC

univerkov | February 3, 2021 | education

Point C splits segment AB into parts AC and CB find the length of segment AB if the length of AC is 56 cm and it is 23 cm less than the length of CB.

According to the terms of the assignment, AC = 56 cm; point C lies on line AB between A and B. Since point C splits the segment AB into parts AC and CB, then AC + CB = AB.
Using the fact that AC = 56 cm, we get: AB = 56 cm + CB.
Since the segment AC is 23 cm less than the segment CB, then CB – 23 cm = AC or CB = AC + 23 cm.
Substituting the expression AC = 56 cm instead of AC in the last equality, we get: CB = 56 cm + 23 cm = 79 cm.
Now it is not difficult to find the length of the segment AB. We have: AB = AC + CB = 56 cm + 79 cm = 135 cm.
Answer: AB = 135 cm.

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