Points ABC lie on one straight line AB = 7.5 cm, BC = 7.8 cm, AC = 0.3 cm. Does point C belong to segment AB?
| April 26, 2021 | education
AB = 7.5 cm, BC = 7.8 cm, AC = 0.3 cm.
If point C lies on a straight line where points A, B, C are located, then they should be in this order: the first point C, the second A and the third B. Exactly so, because then the equality CA + AB = CB is fulfilled:
0, 3 + 7, 5 = 7, 8 cm.
If the points lie in the order A, B, C, then:
AB + BC = AC, but 7.5 + 7.8 ≠ 0.3 cm.
If the points are found like this: ACB, then:
AC + CB = AB, but: 0.3 + 7.8 = 7.5 cm.
Answer: no, point C does not belong to segment AB.
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