Question

Точки А,В и С лежат на одной прямой. найди длину отрезка ВС если АВ= 24 см,АС= 32 см, .сколько решений имеет задача?

Answer 1

Задача имеет два решения (т.к отрезки могут быть размещены по разному)
1 Решение: _В___А___С_
ВС= АВ+АС=24+32=56 см
2 Решение: _А__В__С_
ВС=АС-АВ=32-24=8 см

Answer 2

Task Analysis

The problem involves finding the length of the segment BC given that points A, B, and C lie on the same line, and the lengths of AB and AC are known.

Solution

To find the length of BC, we can use the fact that A, B, and C are collinear, and apply the segment addition postulate.

Given: - AB = 24 cm - AC = 32 cm

We can find the length of BC using the segment addition postulate: - AB + BC = AC

Calculation

Using the segment addition postulate, we can calculate the length of BC: - BC = AC - AB - BC = 32 cm - 24 cm - BC = 8 cm

The length of segment BC is 8 cm.

Conclusion

The problem has one solution, as the length of segment BC is uniquely determined by the given lengths of AB and AC.