The segments AB AC, AC = 89cm were laid on the AM beam. Find the length of the BC segment if:

| January 16, 2021 | education

The segments AB AC, AC = 89cm were laid on the AM beam. Find the length of the BC segment if: a) AB is 15cm longer than the AC; b) AB is 15cm shorter than the AC.

Let the segments AB and AC be laid on the beam AM so that point B lies between points A and C, then AC = AB + BC. The segment AC = 89 cm, the length of the segment BC is taken as x cm.It is known from the problem statement that
a) AB is 15 cm longer than AC, that is, AB = x + 15 (cm). Knowing this, we compose the equation:
x + (x + 15) = 89;
x = (89 – 15): 2 = 37 (cm).
Answer: the length of the BC segment is 37 cm.

b) AB is 15 cm shorter than AC, that is, AB = x – 15 (cm). Knowing this, we compose the equation:
x + (x – 15) = 89;
x = (89 + 15): 2 = 52 (cm).
Answer: The length of the BC segment is 52 cm.



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