Question

Отрезок AB расположен на прямой D. Длина отрезка АВ равна 5 см. На чертеже поставьте точку C так, чтобы длина отрезка BC была равна 3 см. Чему равна длина отрезка AC (два случая решения)?

Answer 1

АС равно 2, либо АС равно 8.

Answer 2

Given Information:

We have a line segment AB on line D, with a length of 5 cm. We need to place a point C on the diagram such that the length of BC is 3 cm. We want to find the length of segment AC in two possible cases.

Solution:

To find the length of segment AC, we can use the fact that the sum of the lengths of two segments on a line is equal to the length of the entire line.

Case 1: In this case, we assume that point C is closer to point A than point B.

Let's denote the length of segment AC as x. According to the given information, the length of segment AB is 5 cm and the length of segment BC is 3 cm.

Using the fact mentioned above, we can write the equation:

AB = AC + BC

Substituting the given values:

5 cm = x + 3 cm

Simplifying the equation:

x = 5 cm - 3 cm

x = 2 cm

Therefore, in the first case, the length of segment AC is 2 cm.

Case 2: In this case, we assume that point C is closer to point B than point A.

Using the same equation as in Case 1:

AB = AC + BC

Substituting the given values:

5 cm = AC + 3 cm

Simplifying the equation:

AC = 5 cm - 3 cm

AC = 2 cm

Therefore, in the second case, the length of segment AC is 2 cm.

To summarize: - In both cases, the length of segment AC is 2 cm.

Please let me know if I can help you with anything else.