Points A, B, C are marked on the straight line so that AB = 7 cm, AC = 11 cm, BC = 28 cm.

| June 21, 2021 | education

Points A, B, C are marked on the straight line so that AB = 7 cm, AC = 11 cm, BC = 28 cm. Which of these points lies between the other two?

It is known that points A, B and C are marked on the straight line, with AB = 7 cm, AC = 11 cm, BC = 28 cm.

To determine whether the points specified by the conditions lie on one straight line, it is necessary to check the conditions.

1) If the points are located in the following sequence: A, B, C.

Then the equality AC = AB + BC must be fulfilled.

Let’s plug in the values ​​and check.

11 = 7 + 28.

11 ≠ 35.

2) If the sequence of points looks like this: A, C, B.

AB = AC + BC.

7 = 11 + 28.

7 ≠ 39.

3) The points are located as follows: B, A, C.

BC = AB + AC.

28 = 7 + 11.

28 ≠ 18.

Thus, points A, B and C cannot lie on the same straight line.



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