Question

На отрезке AB отмечены Точки M и N Так что точка не делит отрезок AB на два отрезка одинаковой длины а точка B лежит между точками A и N Найдите длину отрезка AB если длина отрезка AB равна 18 см а длина отрезка в 3 раза меньше

Answer 1

6сантиметров........

Answer 2

Problem Analysis

We are given a line segment AB, and points M and N on the line segment such that point B lies between points A and N. The line segment AB has a length of 18 cm, and the length of segment MN is one-third of the length of segment AB.

Solution

To find the length of segment AB, we need to determine the lengths of segments AM and BN.

Let's assume that the length of segment MN is x cm. Since MN is one-third of AB, we have the equation:

MN = (1/3) * AB

Substituting the given length of AB as 18 cm, we can solve for x:

x = (1/3) * 18

Simplifying the equation, we find:

x = 6

Now, we know that the length of segment AM is equal to the length of segment BN, as point M divides AB into two equal segments. Therefore, the length of segment AM is also 6 cm.

To find the length of segment BN, we subtract the length of segment AM from the length of segment AB:

BN = AB - AM = 18 - 6 = 12

Therefore, the length of segment AB is 18 cm, the length of segment AM is 6 cm, and the length of segment BN is 12 cm.

Answer

The length of segment AB is 18 cm.