Question

Точка С - середина отрезка АВ, а D - середина отрезка АС. Чему равен отрезок ВD, если длина отрезка АВ равна 10 см?

Answer 1

Отрезок АВ 10 см, значит отрезок АС 5 см, а отрезок АD 2,5 см

Answer 2

Solution:

Given that point C is the midpoint of segment AB, and D is the midpoint of segment AC, we can find the length of segment BD when the length of segment AB is 10 cm.

We know that the midpoint of a line segment divides it into two equal parts. Therefore, if C is the midpoint of segment AB, then AC = CB. Similarly, if D is the midpoint of segment AC, then AD = DC.

Given that AB = 10 cm, we can find the length of BD using the relationship between the lengths of the segments.

Length of BD: We can calculate the length of BD using the relationship between the lengths of the segments: BD = AD + AB

Now, substituting the values: BD = DC + AB BD = AB + AD

Calculation:

Using the given information, we can calculate the length of BD as follows:

BD = AB + AD BD = 10 cm + AD

Since D is the midpoint of segment AC, AD = DC. Therefore, AD = DC = 1/2 * AC.

Final Answer:

So, the length of segment BD is equal to the sum of AB and half of AC, which is 10 cm plus half of AC.

Let's calculate the length of AC using the given information.

Length of AC:

Since C is the midpoint of segment AB, AC = CB. Therefore, AC = 2 * CB.

Conclusion:

We can use the given information to calculate the length of segment BD.