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