There are 3 points on the line A, C and D. AD = 15, AC = 9, CD = 6. Is point D between A and C?

univerkov | May 10, 2021 | education

Given:
straight line a,
points A, C and D lie on one straight line,
AD = 15,
AC = 9,
CD = 6.
Is point D between A and C?
Decision:
Consider line a. If point D is between A and C, then the length of the segment AC = AD + DC. Since AD = 15 and CD = 6, then AC = 15 + 6 = 21, and by the condition of the problem AC = 9. Therefore, point D cannot lie between A and C.
Point C lies between A and D, since AD = AC + DA = 9 + 6 = 15.
Answer: point D does not lie between A and C.

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