On the prima there are three points A, B, C, with AB = 26cm, AC = 13cm. Find the length

| September 27, 2021 | education

On the prima there are three points A, B, C, with AB = 26cm, AC = 13cm. Find the length of the segment BC (two lines)

Let three points A, B and C be marked on some straight line so that AB = 26 cm, AC = 13 cm. To find the length of the segment BC, it is necessary to consider two cases of the relative position of these points on the straight line.

1 case. Point C lies between points A and B, then according to the axioms of the mutual arrangement of points and the relationship of the lengths of the formed segments, we obtain the equality: AB = AC + BC. Means,

BC = AB – AC;

BC = 26 – 13 = 13 (cm).

Answer: The length of the segment BC is 13 centimeters.

2 case. Point A lies between points C and B, then BC = AB + AC. We get

BC = 26 + 13 = 39 (cm).

Answer: BC is 39 centimeters long.



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