Three points are given on a straight line: A, B and C, with AB = 83cm, AC = 97cm.

| February 1, 2021 | education

Three points are given on a straight line: A, B and C, with AB = 83cm, AC = 97cm. Find the length of the segment BC. How many solutions does the problem have?

First of all, draw a straight line and mark point A on it. Set aside in any direction (for example, to the right) the segment AB = 83 cm.
Now we need to postpone the segment AC = 97 cm. We have two paths before us: 1) point C can be located to the right of point A; 2) point C can be located to the left of point A.
If point C is located to the right of point A, then it is clear that BC = AC – AB = 97 cm – 83 cm = 14 cm.
Similarly, if point C is located to the left of point A, then obviously BC = AC + AB = 97 cm + 83 cm = 180 cm.
Answers: The problem has two solutions. The length of the BC segment is 14 cm or 180 cm.



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