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

univerkov | April 8, 2021 | education

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

This problem has two solutions.

1) Let points B and C lie on a straight line on one side of point A.

According to the condition of the problem, the length of the segment AB is 83 cm, and the length of the segment AC is 97 cm.

Therefore, point B lies between points A and C and the length of the segment BC is:

| Sun | = | AC | – | AB | = 97 – 83 = 14 cm.

2) Let points B and C lie on a straight line on opposite sides of point A.

In this case, point A lies between points B and C and the length of the segment BC is:

| Sun | = | AC | + | AB | = 97 + 83 = 180 cm.

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