Question

Точка A,B и C лежат на одной прямой.Будет ли точка B лежать на отрезке AC,если AB=2 см,BC=3 см и AC=5 см?Обоснуйте свой ответ​

Answer 1

Точка В будет лежать на отрезке А и С это аксиома принадлежности

Answer 2

Problem Analysis

We are given three points A, B, and C that lie on the same line. The lengths of AB, BC, and AC are given as 2 cm, 3 cm, and 5 cm, respectively. We need to determine whether point B lies on the line segment AC.

Solution

To determine whether point B lies on the line segment AC, we need to check if the sum of the lengths of AB and BC is equal to the length of AC.

If AB + BC = AC, then point B lies on the line segment AC. Otherwise, point B does not lie on the line segment AC.

Let's calculate the sum of AB and BC and compare it with AC.

Calculation

AB + BC = 2 cm + 3 cm = 5 cm

Conclusion

The sum of AB and BC is equal to AC. Therefore, point B lies on the line segment AC.

Note: The calculation confirms that point B lies on the line segment AC.