Question

Точки А, В, С різні і лежать на одній прямій, AB = 2, BC = 4. Розглянути всі можливі варіанти взаємного розташування точок АB:BC с і знайти відношення АВ: ВC

Answer 1

Ответ:

Верно вроде не благодарит

Answer 2

Given Information:

- Points A, B, and C are on the same line. - AB = 2 - BC = 4

Possible Configurations:

To determine the possible configurations of the points AB:BC, we need to consider the relative positions of points A, B, and C on the line.

1. A is to the left of B, and B is to the left of C: - In this case, the points are arranged in the order A-B-C on the line.

2. A is to the left of B, and B is to the right of C: - In this case, the points are arranged in the order A-C-B on the line.

3. A is to the right of B, and B is to the left of C: - In this case, the points are arranged in the order B-A-C on the line.

4. A is to the right of B, and B is to the right of C: - In this case, the points are arranged in the order C-B-A on the line.

Finding the Ratio AB:BC:

To find the ratio AB:BC, we need to calculate the length of AB and BC and then divide AB by BC.

1. A-B-C configuration: - In this configuration, AB = 2 and BC = 4. - Therefore, the ratio AB:BC is 2:4, which simplifies to 1:2.

2. A-C-B configuration: - In this configuration, AB = 2 and BC = 4. - Therefore, the ratio AB:BC is 2:4, which simplifies to 1:2.

3. B-A-C configuration: - In this configuration, AB = 2 and BC = 4. - Therefore, the ratio AB:BC is 2:4, which simplifies to 1:2.

4. C-B-A configuration: - In this configuration, AB = 2 and BC = 4. - Therefore, the ratio AB:BC is 2:4, which simplifies to 1:2.

Conclusion:

In all possible configurations of the points AB:BC, the ratio AB:BC is always 1:2.