Three points a B and c are given on the straight line and AB – 83 cm AC – 97 cm find the length of the leg BC.

| September 8, 2021 | education

Points A, B and C lie on the same one according to the problem statement and form 3 segments. The problem does not indicate the sequence in which the points are located, so you need to consider all the options. There are 3 of them: points are located in the sequence A, B, C; A, C, B; B, A, C.

In the first and second sequences, the value of the segment will be the same, so we can only consider the first and third options.

1) In the first case (A, B, C), the segment BC will be the difference between the segments AC and AB. AC = 97 cm, AB = 83 cm, then BC will be the difference between 97 and 83.

97 – 83 = 14 cm

BC = 14 cm

2) In the third case (A, C, B), the BC segment will be the sum of the AC and AB segments. AC = 97 cm, AB = 83 cm, then BC will be the sum of 97 and 83.

97 + 83 = 180 cm

BC = 180 cm



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