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Points A, B, and C are three distinct points that lie on the same line. If the length of AB is 19 meters and the length of BC is 13 meters, then what are all the possible lengths, in meters, for AC?
  • a)
    6 only
  • b)
    32 only
  • c)
    6 only 32 only
  • d)
    Any number less than 32 or greater that 6
  • e)
    Any number greater than 32 or less than 6
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
Points A, B, and C are three distinct points that lie on the same line...
Since AB is longer than BC, there are only two possible configurations: B is between A and C or C is between A and B. In the case that B is between A and C, AC = AB + BC = 19 + 13 = 32. In the case that C is between A and B, AC = AB - BC = 19 - 13 = 6. Therefore, AC can be 6 and 32 only.
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Community Answer
Points A, B, and C are three distinct points that lie on the same line...
Explanation:

Given:
- Points A, B, and C lie on the same line.
- Length of AB = 19 meters
- Length of BC = 13 meters

Calculating the possible lengths of AC:
- The length of AC will be the sum of the lengths of AB and BC, as all three points lie on the same line.
- Therefore, AC = AB + BC = 19 + 13 = 32 meters

Conclusion:
- The only possible length for AC, given the lengths of AB and BC, is 32 meters. Therefore, the correct answer is option 'C' - 32 only.
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Points A, B, and C are three distinct points that lie on the same line. If the length of AB is 19 meters and the length of BC is 13 meters, then what are all the possible lengths, in meters, for AC?a)6 onlyb)32 onlyc)6 only 32 onlyd)Any number less than 32 or greater that 6e)Any number greater than 32 or less than 6Correct answer is option 'C'. Can you explain this answer?
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