Points B and C are marked on segment AD so that point C lies between points B and D. It is known that AB = m, BC
| June 24, 2021 | education
Points B and C are marked on segment AD so that point C lies between points B and D. It is known that AB = m, BC is more than AB per m, and CD is less than AB + BC per m.Find the length of segment AD
By the condition of the problem, the length of the segment AB = m, and the length of the segment BC is greater than AB by m, respectively, it turns out:
BC = AB + m;
BC = m + m;
BC = 2 * m.
The next, in the condition of the problem, says that CD is less than AB + BC per m, it turns out:
CD = (AB + BC) – m;
CD = (m + 2 * m) – m;
CD = 3 * m – m;
CD = 2 * m.
The last is to find the length of the entire segment AD, adding all the segments:
AD = AB + BC + CD.
AD = m + 2 * m + 2 * m.
AD = 5 * m.
Answer: AD = 5 * m.
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